Partial projective representations and partial actions II

This paper is a continuation of Dokuchaev and Novikov (2010) [8]. The interaction between partial projective representations and twisted partial actions of groups considered in Dokuchaev and Novikov (2010) [8] is treated now in a categorical language. In the case of a finite group G, a structural result on the domains of factor sets of partial projective representations of G is obtained in terms of elementary partial actions. For arbitrary G we study the component pM'(G) of totally-defined factor sets in the partial Schur multiplier pM(G) using the structure of Exel's semigroup. A complete characterization of the elements of pM'(G) is obtained for algebraically closed fields. (C) 2011 Elsevier B.V. All rights reserved.

Ruolo dei glicosaminoglicani su struttura e funzione dei crimps nei tendini e nei legamenti

The biomechanical roles of both tendons and ligaments are fulfilled by extracellular matrix of these tissues. In particular, tension is mainly transmitted and resisted by fibrous proteins (collagen, elastin), whereas compressive load is absorbed by water-soluble glycosaminoglycans (GAGs). GAGs spanning the interfibrillar spaces and interacting with fibrils also seem to play a part in transmitting and resisting tensile stresses. Apart from different functional roles and collagen array, tendons and ligaments share the same basic structure showing periodic undulations of collagen fibers or crimps. Each crimp is composed of many knots of each single fibril or fibrillar crimps. Fibrillar and fiber crimps act as shock absorbers during the initial elongation of both tendons and ligaments and assist the elastic recoil of fibrils and fibers when the tensile stress is removed. The aim of this thesis was to evaluate whether GAGs directly affect the 3D microstructural integrity of fibrillar crimp and fiber crimps in both tendons and ligaments. Achilles tendons and medial collateral ligaments of the knee from eight female Sprague-Dawley rats (90 days old) were digested with chondroitinase ABC to remove GAGs and observed under a scanning electron microscope (SEM). In addition, isolated fibrils from these tissues obtained by mechanical homogenization were analyzed by a transmission electron microscope (TEM). Both samples digested with chondroitinase ABC or mechanically disrupted still showed crimps and fibrillar crimps comparable to tissues with a normal GAGs content. All fibrils in the fibrillar crimp region always twisted leftwards, thus changing their running plane, and then sharply bent, changing their course on a new plane. These data suggest that GAGs do not affect structural integrity or fibrillar crimps functions that seem mainly related to the local fibril leftward twisting and the alternating handedness of collagen from a molecular to a supramolecular level.

Statistical mechanics of protein complexed and condensed DNA

In this thesis I treat various biophysical questions arising in the context of complexed / ”protein-packed” DNA and DNA in confined geometries (like in viruses or toroidal DNA condensates). Using diverse theoretical methods I consider the statistical mechanics as well as the dynamics of DNA under these conditions. In the first part of the thesis (chapter 2) I derive for the first time the single molecule ”equation of state”, i.e. the force-extension relation of a looped DNA (Eq. 2.94) by using the path integral formalism. Generalizing these results I show that the presence of elastic substructures like loops or deflections caused by anchoring boundary conditions (e.g. at the AFM tip or the mica substrate) gives rise to a significant renormalization of the apparent persistence length as extracted from single molecule experiments (Eqs. 2.39 and 2.98). As I show the experimentally observed apparent persistence length reduction by a factor of 10 or more is naturally explained by this theory. In chapter 3 I theoretically consider the thermal motion of nucleosomes along a DNA template. After an extensive analysis of available experimental data and theoretical modelling of two possible mechanisms I conclude that the ”corkscrew-motion” mechanism most consistently explains this biologically important process. In chapter 4 I demonstrate that DNA-spools (architectures in which DNA circumferentially winds on a cylindrical surface, or onto itself) show a remarkable ”kinetic inertness” that protects them from tension-induced disruption on experimentally and biologically relevant timescales (cf. Fig. 4.1 and Eq. 4.18). I show that the underlying model establishes a connection between the seemingly unrelated and previously unexplained force peaks in single molecule nucleosome and DNA-toroid stretching experiments. Finally in chapter 5 I show that toroidally confined DNA (found in viruses, DNAcondensates or sperm chromatin) undergoes a transition to a twisted, highly entangled state provided that the aspect ratio of the underlying torus crosses a certain critical value (cf. Eq. 5.6 and the phase diagram in Fig. 5.4). The presented mechanism could rationalize several experimental mysteries, ranging from entangled and supercoiled toroids released from virus capsids to the unexpectedly short cholesteric pitch in the (toroidaly wound) sperm chromatin. I propose that the ”topological encapsulation” resulting from our model may have some practical implications for the gene-therapeutic DNA delivery process.

Structure-Property Relationships and Charge Transport Modeling of Organic Molecular Materials

From the perspective of a new-generation opto-electronic technology based on organic semiconductors, a major objective is to achieve a deep and detailed knowledge of the structure-property relationships, in order to optimize the electronic, optical, and charge transport properties by tuning the chemical-physical characteristics of the compounds. The purpose of this dissertation is to contribute to such understanding, through suitable theoretical and computational studies. Precisely, the structural, electronic, optical, and charge transport characteristics of several promising organic materials recently synthesized are investigated by means of an integrated approach encompassing quantum-chemical calculations, molecular dynamics and kinetic Monte Carlo simulations. Particular care is addressed to the rationalization of optical and charge transport properties in terms of both intra- and intermolecular features. Moreover, a considerable part of this project involves the development of a home-made set of procedures and parts of software code required to assist the modeling of charge transport properties in the framework of the non-adiabatic hopping mechanism applied to organic crystalline materials. As a first part of my investigations, I mainly discuss the optical, electronic, and structural properties of several core-extended rylene derivatives, which can be regarded to as model compounds for graphene nanoribbons. Two families have been studied, consisting in bay-linked perylene bisimide oligomers and N-annulated rylenes. Beside rylene derivatives, my studies also concerned electronic and spectroscopic properties of tetracene diimides, quinoidal oligothiophenes, and oxygen doped picene. As an example of device application, I studied the structural characteristics governing the efficiency of resistive molecular memories based on a derivative of benzoquinone. Finally, as a second part of my investigations, I concentrate on the charge transport properties of perylene bisimides derivatives. Precisely, a comprehensive study of the structural and thermal effects on the charge transport of several core-twisted chlorinated and fluoro-alkylated perylene bisimide n-type semiconductors is presented.

On moduli spaces of semistable sheaves on K3 surfaces

Ich untersuche die nicht bereits durch die Arbeit "Singular symplectic moduli spaces" von Kaledin, Lehn und Sorger (Invent. Math. 164 (2006), no. 3) abgedeckten Fälle von Modulräumen halbstabiler Garben auf projektiven K3-Flächen - die Fälle mit Mukai-Vektor (0,c,0) sowie die Modulräume zu nichtgenerischen amplen Divisoren - hinsichtlich der möglichen Konstruktion neuer Beispiele von kompakten irreduziblen symplektischen Mannigfaltigkeiten. Ich stelle einen Zusammenhang zu den bereits untersuchten Modulräumen und Verallgemeinerungen derselben her und erweitere bekannte Ergebnisse auf alle offenen Fälle von Garben vom Rang 0 und viele Fälle von Garben von positivem Rang. Insbesondere kann in diesen Fällen die Existenz neuer Beispiele von kompakten irreduziblen symplektischen Mannigfaltigkeiten, die birational über Komponenten des Modulraums liegen, ausgeschlossen werden.

Evaluation of Human Exposure to Magnetic Fields Generated by Electric Power Systems in Complex Configurations

The international growing concern for the human exposure to magnetic fields generated by electric power lines has unavoidably led to imposing legal limits. Respecting these limits, implies being able to calculate easily and accurately the generated magnetic field also in complex configurations. Twisting of phase conductors is such a case. The consolidated exact and approximated theory regarding a single-circuit twisted three-phase power cable line has been reported along with the proposal of an innovative simplified formula obtained by means of an heuristic procedure. This formula, although being dramatically simpler, is proven to be a good approximation of the analytical formula and at the same time much more accurate than the approximated formula found in literature. The double-circuit twisted three-phase power cable line case has been studied following different approaches of increasing complexity and accuracy. In this framework, the effectiveness of the above-mentioned innovative formula is also examined. The experimental verification of the correctness of the twisted double-circuit theoretical analysis has permitted its extension to multiple-circuit twisted three-phase power cable lines. In addition, appropriate 2D and, in particularly, 3D numerical codes for simulating real existing overhead power lines for the calculation of the magnetic field in their vicinity have been created. Finally, an innovative ‘smart’ measurement and evaluation system of the magnetic field is being proposed, described and validated, which deals with the experimentally-based evaluation of the total magnetic field B generated by multiple sources in complex three-dimensional arrangements, carried out on the basis of the measurement of the three Cartesian field components and their correlation with the field currents via multilinear regression techniques. The ultimate goal is verifying that magnetic induction intensity is within the prescribed limits.

Knots and links in lens spaces

The aim of this dissertation is to improve the knowledge of knots and links in lens spaces. If the lens space L(p,q) is defined as a 3-ball with suitable boundary identifications, then a link in L(p,q) can be represented by a disk diagram, i.e. a regular projection of the link on a disk. In this contest, we obtain a complete finite set of Reidemeister-type moves establishing equivalence, up to ambient isotopy. Moreover, the connections of this new diagram with both grid and band diagrams for links in lens spaces are shown. A Wirtinger-type presentation for the group of the link and a diagrammatic method giving the first homology group are described. A class of twisted Alexander polynomials for links in lens spaces is computed, showing its correlation with Reidemeister torsion. One of the most important geometric invariants of links in lens spaces is the lift in 3-sphere of a link L in L(p,q), that is the counterimage of L under the universal covering of L(p,q). Starting from the disk diagram of the link, we obtain a diagram of the lift in the 3-sphere. Using this construction it is possible to find different knots and links in L(p,q) having equivalent lifts, hence we cannot distinguish different links in lens spaces only from their lift. The two final chapters investigate whether several existing invariants for links in lens spaces are essential, i.e. whether they may assume different values on links with equivalent lift. Namely, we consider the fundamental quandle, the group of the link, the twisted Alexander polynomials, the Kauffman Bracket Skein Module and an HOMFLY-PT-type invariant.

La goutte et la feuille. Transfigurations de la beauté naturelle dans la littérature européenne: Chateaubriand, Hölderlin et Leopardi.

La goutte et la feuille . Transfigurations de la beauté naturelle dans la littérature européenne : Chateaubriand , Hölderlin et Leopardi . La thèse se présente comme une étude morphologique de l'esthétique de la nature à la fin de 18 ans. Siècle. Le dénominateur commun est une étude comparative des paradigmes scientifiques et des images symboliques utilisés dans la littérature européenne . Sous ce point de vue la thèse identifie les formes originaires de la goutte et de la feuille comme un point de contact entre des moments culturels distincts, même si entrelacés. Un passage particulièrement important du travail est l'analyse structurelle du paysage . Le paysage est le point culminant d'accès aux secrets de l'écriture romantique. Le paysage commence avec la représentation classique du jardin édénique et se termine avec la forêt exotique américaine. Celle-ci est décrite par Chateaubriand, en tant qu’objet d’une KOINONIE stylistique à l’immensité sublime du désert et l'océan . Hölderlin place avec la beauté naturelle devient une harmonie secrète et sombre dans l'inconscient symbolique de l'âme humaine . Leopardi est l'auteur du désenchantement , et pourtant il est encore capable de pressentir empathiquement la mesure de l’imagination envers la beauté naturelle. Avec Léopards , cependant, s’accomplit la séparation finale entre l’EPOS de la beauté naturelle et l’ETHOS de la nature . Cette dernière est une grandeur morale, et au fait elle représente le moment de la dissolution nihiliste, notamment magnitude de l’esthétique typiquement romantique . Après Chateaubriand , Leopardi , et Hölderlin beauté naturelle ne seront plus transfigurant .

Centro-sinistra e autonomia speciale. La DC trentina tra il 1955 e il 1968

La tesi è una ricerca di storia politica che affianca due diverse “storie” di centro-sinistra, quella nazionale e quella che vide protagonista la Democrazia Cristiana del Trentino. Lo studio analizza i fatti attraverso il filtro delle DC come se quello trentino e quello nazionale fossero due partiti, per poi tentare di capire ciò che accadeva alla loro sinistra alla ricerca dei diversi pesi e dei differenti equilibri che al centro e alla periferia si manifestavano nei rapporti con il PSI e con il PCI, e per osservare le reazioni della Chiesa così da valutare se le gerarchie romane e quelle trentine interagirono in modo differente sugli sviluppi delle rispettive esperienze politiche di quegli anni. Il testo è organizzato in quattro capitoli. Il primo e il secondo (speculari e dedicati allo stesso lustro: 1955-1960) rappresentano un confronto tra i differenti iter d’avvicinamento al centro-sinistra che la politica nazionale e quella trentina sperimentarono nella seconda metà degli anni Cinquanta. Nel terzo capitolo (1960-1964) e nel quarto (1964-1968) le vicende nazionali e quelle locali sono invece raccontate in modo intrecciato, ripercorrendo le diverse fasi dell’alleanza tra Democrazia Cristiana e Partito Socialista, e nel contempo dando conto della trasformazione del Trentino da una realtà di tipo agricolo ad una di tipo industriale, del passaggio da una comunità di tipo cattolico tradizionale ad una che si accinge a vivere in un contesto secolarizzato, e da una società che si autopercepisce come periferica ad una che ospita una delle contestazioni studentesche più peculiari, incisive e note d’Italia.

Hadronic matrix elements in lattice QCD

The lattice formulation of Quantum ChromoDynamics (QCD) has become a reliable tool providing an ab initio calculation of low-energy quantities. Despite numerous successes, systematic uncertainties, such as discretisation effects, finite-size effects, and contaminations from excited states, are inherent in any lattice calculation. Simulations with controlled systematic uncertainties and close to the physical pion mass have become state-of-the-art. We present such a calculation for various hadronic matrix elements using non-perturbatively O(a)-improved Wilson fermions with two dynamical light quark flavours. The main topics covered in this thesis are the axial charge of the nucleon, the electro-magnetic form factors of the nucleon, and the leading hadronic contributions to the anomalous magnetic moment of the muon. Lattice simulations typically tend to underestimate the axial charge of the nucleon by 5 − 10%. We show that including excited state contaminations using the summed operator insertion method leads to agreement with the experimentally determined value. Further studies of systematic uncertainties reveal only small discretisation effects. For the electro-magnetic form factors of the nucleon, we see a similar contamination from excited states as for the axial charge. The electro-magnetic radii, extracted from a dipole fit to the momentum dependence of the form factors, show no indication of finite-size or cutoff effects. If we include excited states using the summed operator insertion method, we achieve better agreement with the radii from phenomenology. The anomalous magnetic moment of the muon can be measured and predicted to very high precision. The theoretical prediction of the anomalous magnetic moment receives contribution from strong, weak, and electro-magnetic interactions, where the hadronic contributions dominate the uncertainties. A persistent 3σ tension between the experimental determination and the theoretical calculation is found, which is considered to be an indication for physics beyond the Standard Model. We present a calculation of the connected part of the hadronic vacuum polarisation using lattice QCD. Partially twisted boundary conditions lead to a significant improvement of the vacuum polarisation in the region of small momentum transfer, which is crucial in the extraction of the hadronic vacuum polarisation.

Modellkomplexe oligonuklearer Metalloproteine auf Basis von Salen-Liganden und Spin-Crossover-Verbindungen als Chemosensoren

Der erste Teil der hier vorgestellten Arbeit verfolgt die Synthese potentieller Modellverbindungen oligonuklearer Metalloproteine auf Basis von Salen-Liganden. Dazu wurden zwei Ligandensysteme mit unterschiedlich raumerfüllenden Alkyl-Substituenten modifiziert und auf ihre koordinativen Eigenschaften hin untersucht. Für das Ligandensystem auf Basis des Bis-(salicylidenamino)-propan-2-ols konnten fünf Derivate (H3L1, H3L2A,H3L2B, H3L3, H3L4), für das zweite verwendete Ligandensystem auf Basis des 1H-3,5-Bis-(salicylidenaminomethyl)-pyrazols konnten zwei weitere Derivate (H3L5A, H3L5B) dargestellt und zu Koordinationsverbindungen umgesetzt werden.rnFür den hier verwendeten Bis-(salicylidenamino)-propan-2-ol Liganden H3L1, welcher die geringsten sterischen Anforderungen stellt, konnten mono-, tri- und tetranukleare Koordinationsverbindungen synthetisiert werden. Dabei gelingt es dem Liganden, sich sowohl in planarer als auch in unterschiedlich stark gewinkelter Konformation um ein oder mehrere Metallzentren anzuordnen, wobei der Ligand ein N2O2- seines N2O3-Donorsets zur Koordination nutzt. Die Verbindung {[Ni7(HL1)2(L1)2(OBz)4(OMe)(H2O)]}n zeigt, dass eine Verkettung der so gestalteten dreikernigen Einheiten über das freie Propanol-Sauerstoffatomdes Ligandenrückgrats möglich ist. Mit zunehmendem sterischen Anspruch der angefügten Alkylsubstituenten nimmt die geometrische Flexibilität und somit das Potential des Liganden zur Ausbildung höhernuklearer Strukturen ab. So ist für Liganden mit mittlerem sterischen Anspruch neben mononuklearen Komplexen noch die Gestaltung dinuklearer Systeme möglich. Erhöht man den sterischen Anspruch des Liganden weiter, findet nur noch eine Reaktion zu mononuklearen Verbindungen statt.rnMit den Pyrazol-basierten Ligandensystemen H3L5A und H3L5B konnten dinukleare Kupfer- und Nickelverbindungen synthetisiert werden.rnDer zweite Teil dieser Arbeit befasst sich mit der Gestaltung von Spin-Crossover Systemen (SCO). Dazu soll ein Spinübergang innerhalb des gestalteten schaltbaren Systems an die Anwesenheit eines Signalstoffs gekoppelt werden, so dass diese SCO-Verbindung als Sensor für den Signalstoff eingesetzt werden kann. Dazu wurden zwei unterschiedliche Ansätze entwickelt und untersucht.rnDie erste Methode beruht auf der Kombination eines zum Spin-Crossover befähigten Metallzentrums, eines Capping-Liganden, eines zur Signalstofferkennung funktionalisierten Co-Liganden sowie eines entsprechenden Signalstoffs. Als Capping-Liganden wurden tetra- und pentadentateLigandensysteme eingesetzt und mit unterschiedlich Picolyl-substituierten Monoaza-[12]-krone-4-Derivaten umgesetzt, wobei die Monoazakrone zur Komplexierung des Signalstoffs,hier in Form eines Alkalimetallions, zur Verfügung steht. Nach dieser ersten Methode konnten im Zeitraum dieser Arbeit noch keine zufriedenstellenden Ergebnisse erzielt werden.rnEine vielversprechende zweite Möglichkeit beruht auf der Verwendung eines mehrzähnigen, etablierten Spin-Crossover Liganden,welcher in seiner Peripherie mit einer Bindungstasche zur Aufnahme des Signalstoffmodifiziert wird.Mit Hilfe des so gestalteten Liganden 4'-(4'''-Benzo-[15]-krone-5)-methyloxy-2,2':6',2''-terpyridin ([b15c5]-tpy) gelang die Umsetzung zu entsprechenden Eisen(II)- und Kobalt(II)komplexen der Zusammensetzung [M([b15c5]-tpy)2]2+. Alle synthetisierten Eisen(II)-Komplexe liegen aufgrund der hohen Ligandenfeldstärke des Terpyridins über einen Temperaturbereich von 300 – 400 K in ihrer diamagnetischen Low Spin Form vor. Die entsprechenden Kobalt(II)-Komplexe zeigen über einen Temperaturbereich von 2 – 350 K ein kontinuierliches, aber unvollständiges Spin-Crossover Verhalten.rnDer Einfluss von Signalstoffen auf das Spin-Crossover Verhalten der Kobalt(II)-Systeme wurde in einem ersten Versuch unter der Verwendung von Natriumionen als Signalstoff untersucht. Dabei stellte sich heraus, dass Natriumionen für dieses System zwar nicht als Auslöser eines SCO verwendet werden können, sie aber dennoch eine starke Auswirkung auf den Verlauf des Spin-Crossovers haben.

Testing the TICT State Hypothesis: an Investigation into the Solvatochromic Behavior of 2-Naphthalenylmethylene Malononitrile

Towards the goal of investigating the possible Twisted Intramolecular Charge Transfer (TICT) state mechanism of fluorescence emission, two aromatic dicyanovinyl compounds, 2-(naphthalene-2-ylmethylene) malononitrile (DCN) and a rigidified analogue, 3,4-dihydrophenanthren-1(2H)-ylidene)malononitrile (RDCN) were synthesized and their absorption and steady-state fluorescence emission spectra characterized. The spectral characterization was divided into two studies: first, DCN and RDCN were characterized in liquid solvents of increasing polarity; second, DCN and RDCN were characterized in viscous solvents and rigid glass media. The absorption spectra for both DCN and RDCN in all solvents demonstrated little to no solvatochromism. Emission results for DCN and RDCN in liquid solvents of increasing polarity showed DCN possessing strong solvatochromism while RDCN showed much less solvatochromism. Using the Lippert-Mataga equation, the difference between the ground and excited state dipole moment for DCN was estimated to be 8.4 + 0.4 Debye and between ~3.0 to 5.0 Debye for RDCN. Quantum yield measurements for DCN and RDCN in hexane, diethyl ether and acetonitrile were less than 0.01 and independent of polarity for both both solvents, with DCN generally possessing a quantum yield 3-4 times greater than RDCN. Experiments in glass media for DCN and RDCN showed a lessening of their solvatochromic character in both polar and non-polar glasses. These data provide strong evidence for a link between molecular flexibility and solvatochromism. However, while these data are consistent with a TICT state hypothesis for the emission mechanism, an alternative mechanism proposed by Maroncelli et al.10 involving rotation about the dicyanovinyl double bond in the excited state remains a possibility as well.

[Hyperreactive luteomas during pregnancy--symptoms and complications: a case report]

A 27-year-old Caucasian (gravida 2 para 1) presented in week 16 of her twin pregnancy with worsening of hyperandrogenic symptoms. In week 17, she developed an acute abdomen due to a twisted, incarcerated right ovary, which was surgically removed. Histological analysis revealed a diffuse steroid cell hyperplasia. Postsurgery testosterone levels fell temporarily within normal limits, diminishing the hyperandrogenic symptoms. Over time androgen levels rose again slowly above normal values with clinical worsening of hirsutism. In the 32nd week of gestation, a cesarean section of two healthy female infants was necessary due to the development of preeclampsia. An ovarian biopsy revealed again the picture of hyperreactio luteinalis. Postpartum peripheral hormone levels fell within normal limits and the hyperandrogenic symptoms subsided.

A second look at gauged supergravities from fluxes in M-theory

We investigate reductions of M-theory beyond twisted tori by allowing the presence of KK6 monopoles (KKO6-planes) compatible with N = 4 supersymmetry in four dimensions. The presence of KKO6-planes proves crucial to achieve full moduli stabilisation as they generate new universal moduli powers in the scalar potential. The resulting gauged supergravities turn out to be compatible with a weak G2 holonomy at N = 1 as well as at some non-supersymmetric AdS4 vacua. The M-theory flux vacua we present here cannot be obtained from ordinary type IIA orientifold reductions including background fluxes, D6-branes (O6-planes) and/or KK5 (KKO5) sources. However, from a four-dimensional point of view, they still admit a description in terms of so-called non-geometric fluxes. In this sense we provide the M-theory interpretation for such non-geometric type IIA flux vacua.