Rivestimenti ramificati semplici in dimensione 3

In questa tesi, che si colloca nell'ambito della topologia algebrica, si affronta l'approccio allo studio delle 3-varietà mediante il concetto di rivestimento. In particolare si studiano i rivestimenti ramificati il cui l'insieme di ramificazione è un link. Il tema centrale della tesi è il teorema di Hilden-Montesinos, che in particolare tratta di rivestimenti ramificati di ordine 3 semplici. Per questo si affronta il concetto di monodromia e di gruppo di un link. L'ultima parte descrive il problema di trovare equivalenze tra diagrammi colorati che rappresentano 3-varietà, mostrando infine una possibile soluzione trovata da Riccardo Piergallini.

Cube Complexes and Virtual Fibering of 3-Manifolds.

Una 3-varietà si dice virtualmente fibrata se ammette un rivestimento finito che è un fibrato con base una circonferenza e fibra una superficie. In seguito al lavoro di geometrizzazione di Thurston e Perelman, la generica 3-varietà risulta essere iperbolica; un recente risultato di Agol afferma che una tale varietà è sempre virtualmente fibrata. L’ingrediente principale della prova consiste nell’introduzione, dovuta a Wise, dei complessi cubici nello studio delle 3-varietà iperboliche. Questa tesi si concentra sulle proprietà algebriche e geometriche di queste strutture combinatorie e sul ruolo che esse hanno giocato nella dimostrazione del Teorema di Fibrazione Virtuale.

Gruppi topologici e rivestimenti

Dopo una breve carrellata sui principali concetti della topologia algebrica, la tesi si concentra sui gruppi topologici e sul loro rivestimento. Si conclude infine con lo studio del rivestimento di SU(2) su SO(3,R).

Le varietà di Seifert

Nella tesi si arriva a classificare le varietà di Seifert, particolari 3-varietà che ammettono una fibrazione in cerchi. Dopo un'introduzione sulla topologia delle varietà e sulla classificazione delle superfici, vengono presentate le 3-varietà e la decomposizione in fattori primi. Con l'esposizione della decomposizione JSJ vengono introdotte le varietà di Seifert. Infine vengono classificati i fibrati di Seifert, tramite la superficie di base e le pendenze delle fibre singolari.

Presentazione di varietà tridimensionali tramite poliedri

Lo scopo della tesi è dimostrare un teorema che offre una condizione necessaria e sufficiente affinché un poliedro con facce identificate risulti una varietà tridimensionale. Nel primo capitolo si descrive una possibile metodologia di studio e presentazione delle superfici al fine di fare un confronto con le 3-varietà. Nel secondo capitolo, prima di studiare il teorema principale, si descrivono nozioni di topologia algebrica utili nella sua dimostrazione: la coomologia e la dualità di Poincaré. Infine il terzo capitolo è dedicato alla descrizione di due esempi di 3-varietà e ad un controesempio al teorema in dimensione 5.

A Comparative Study of the Effect of Metallic Au and ReO3 Nanoparticles on the Performance of Silicon Solar Cells

The influence of gold (similar to 35 nm diameter) as well as ReO3 (similar to 17 nm diameter) nanoparticles placed atop silicon photovoltaic devices on absorption and photocurrent generation has been investigated. The nanoparticles improve the power transmission into the semiconductor and consequently, the photocurrent response at wavelengths corresponding to plasmon absorption. An increase in short circuit current up to 4.5% under simulated solar irradiation was observed with the ReO3 nanoparticles, while the gold nanoparticles showed enhancements up to 6.5%. The increase in photocurrent is observed at wavelengths corresponding to the maxima in the surface plasmon resonance absorption spectra. (C) 2010 The Japan Society of Applied Physics

Holographic beam steering a directly modulated twoelectrode high brightness tapered laser diode for optical wireless communications

An error-free free space communication link with 3 angular coverage and 1.25GHz modulation bandwidth is demonstrated by beam steering an ultra high modulation efficiency bright tapered laser diode using a Liquid Crystal Spatial Light Modulator. © OSA 2012.

Quantification of malondialdehyde and 4-hydroxynonenal adducts to lysine residues in native and oxidized human low-density lipoprotein

Malondialdehyde (MDA) and 4-hydroxynonenal (HNE) are major end-products of oxidation of polyunsaturated fatty acids, and are frequently measured as indicators of lipid peroxidation and oxidative stress in vivo. MDA forms Schiff-base adducts with lysine residues and cross-links proteins in vitro; HNE also reacts with lysines, primarily via a Michael addition reaction. We have developed methods using NaBH4 reduction to stabilize these adducts to conditions used for acid hydrolysis of protein, and have prepared reduced forms of lysine-MDA [3-(N epsilon-lysino)propan-1-ol (LM)], the lysine-MDA-lysine iminopropene cross-link [1,3-di(N epsilon-lysino)propane (LML)] and lysine-HNE [3-(N epsilon-lysino)-4-hydroxynonan-l-ol (LHNE)]. Gas chromatography/MS assays have been developed for quantification of the reduced compounds in protein. RNase incubated with MDA or HNE was used as a model for quantification of the adducts by gas chromatography/MS. There was excellent agreement between measurement of MDA bound to RNase as LM and LML, and as thiobarbituric acid-MDA adducts measured by HPLC; these adducts accounted for 70-80% of total lysine loss during the reaction with MDA. LM and LML (0.002-0.12 mmol/ mol of lysine) were also found in freshly isolated low-density lipoprotein (LDL) from healthy subjects. LHNE was measured in RNase treated with HNE, but was not detectable in native LDL. LM, LML and LHNE increased in concert with the formation of conjugated dienes during the copper-catalysed oxidation of LDL, but accounted for modification of <1% of lysine residues in oxidized LDL. These results are the first report of direct chemical measurement of MDA and HNE adducts to lysine residues in LDL. LM, LML and LHNE should be useful as biomarkers of lipid peroxidative modification of protein and of oxidative stress in vitro and in vivo.

Mapping class group e complesso delle curve per superfici di Heegaard

In una 3-varietà chiusa è possibile individuare alcune superfici (dette di Heegaard) tali che, tagliando la 3-varietà lungo una di queste, essa si spezza in due corpi con manici che hanno per bordo tale superficie. La tesi propone alcuni recenti risultati circa l'interazione tra la topologia della 3-varietà, il gruppo di automorfismi delle sue superfici di Heegaard e complessi simpliciali costruiti a partire dalle curve su tali superfici.

A computerized methodology for structural synthesis of kinematic chains: Part 3 - application to the new case of 10-link, three- freedom chains

The unified computer program for structural synthesis and analysis developed in Part 1 has been employed to derive the new and complete collection of 97 10-link, three-freedom simple-jointed kinematic chains. The program shows that of these chains, 3 have total freedom, 70 have partial freedom and the remaining 24 have fractionated freedom and that the 97 chains yield a total of 676 distinct mechanisms.

3 Gbit/s LED-based step index plastic optical fiber link using multilevel pulse amplitude modulation

Multilevel PAM is investigated for a LED-based SI-POF link. Using PAM-8, transmission at a record 3 Gbit/s is demonstrated for a maximum length of 25 m step index POF with offline post-receiver processing. © 2013 OSA.

3 Gbit/s LED-based step index plastic optical fiber link using multilevel pulse amplitude modulation

Multilevel PAM is investigated for a LED-based SI-POF link. Using PAM-8, transmission at a record 3 Gbit/s is demonstrated for a maximum length of 25 m step index POF with offline post-receiver processing. © 2013 OSA.

A functional link between bone morphogenetic proteins and insulin-like peptide 3 signaling in modulating ovarian androgen production

Bone morphogenetic proteins (BMP) are firmly implicated as intra-ovarian regulators of follicle development and steroidogenesis. Here we report a microarray analysis showing that treatment of cultured bovine theca cells (TC) with BMP6 significantly (>2-fold; P<0.01) up- or down-regulated expression of 445 genes. Insulin-like peptide 3 (INSL3) was the most heavily down-regulated gene (-43-fold) with CYP17A1 and other key transcripts involved in TC steroidogenesis including LHCGR, INHA, STAR, CYP11A1 and HSD3B1 also down-regulated. BMP6 also reduced expression of NR5A1 encoding steroidogenic factor-1 known to target the promoter regions of the aforementioned genes. Real-time PCR confirmed these findings and also revealed a marked reduction in expression of INSL3 receptor (RXFP2). Secretion of INSL3 protein and androstenedione were also suppressed suggesting a functional link between BMP and INSL3 pathways in controlling androgen synthesis. RNAi-mediated knockdown of INSL3 reduced INSL3 mRNA and secreted protein level (75 and 94%, respectively) and elicited a 77% reduction in CYP17A1 mRNA level and 83% reduction in androstenedione secretion. Knockdown of RXFP2 also reduced CYP17A1 mRNA level (81%) and androstenedione secretion (88%). Conversely, treatment with exogenous (human) INSL3 increased androstenedione secretion ~2-fold. The CYP17 inhibitor abiraterone abolished androgen secretion and reduced expression of both INSL3 and RXFP2. Collectively, these findings indicate a positive autoregulatory role for INSL3 signaling in maintaining thecal androgen production, and visa versa. Moreover, BMP6-induced suppression of thecal androgen synthesis may be mediated, at least in part, by reduced INSL3-RXFP2 signaling.