Exact Lagrangian cobordism and pseudo-isotopy

Dans cette thèse, on étudie les propriétés des sous-variétés lagrangiennes dans une variété symplectique en utilisant la relation de cobordisme lagrangien. Plus précisément, on s'intéresse à déterminer les conditions pour lesquelles les cobordismes lagrangiens élémentaires sont en fait triviaux. En utilisant des techniques de l'homologie de Floer et le théorème du s-cobordisme on démontre que, sous certaines hypothèses topologiques, un cobordisme lagrangien exact est une pseudo-isotopie lagrangienne. Ce resultat est une forme faible d'une conjecture due à Biran et Cornea qui stipule qu'un cobordisme lagrangien exact est hamiltonien isotope à une suspension lagrangianenne.

Isotropic isotopy and symplectic null sets

Capacity is an important numerical invariant of symplectic manifolds. This paper studies when a subset of a symplectic manifold is null, i.e., can be removed without affecting the ambient capacity. After examples of open null sets and codimension-2 non-null sets, geometric techniques are developed to perturb any isotopy of a loop to a hamiltonian flow; it follows that sets of dimension 0 and 1 are null. For isotropic sets of higher dimensions, obstructions to the perturbation are found in homotopy groups of the orthogonal groups.

Link invariants associated with gauge equivalent solutions of the Yang-Baxter equation: The one-parameter family of minimal typical representations of Uq[gl(2|1)]

In this paper we investigate the construction of state models for link invariants using representations of the braid group obtained from various gauge choices for a solution of the trigonometric Yang-Baxter equation. Our results show that it is possible to obtain invariants of regular isotopy (as defined by Kauffman) which may not be ambient isotopic. We illustrate our results with explicit computations using solutions of the trigonometric Yang-Baxter equation associated with the one-parameter family of minimal typical representations of the quantum superalgebra U-q,[gl(2/1)]. We have implemented MATHEMATICA code to evaluate the invariants for all prime knots up to 10 crossings.

Dire le futur au Moyen Age : du prologue au récit : du Chevalier au Lion de Chrétien de Troyes au Chevalier au Lion de Pierre Sala

S'inscrivant dans le domaine de l'analyse des relations temporelles dans les textes, la présente étude est consacrée à la notion du futur définie en tant qu'anticipation sur les événements à venir dans le récit. Ainsi, la recherche en question se propose de mettre en lumière les différents mécanismes d'anticipation propres aux récits d'aventures au Moyen Âge. Recourant aux moyens heuristiques existants (les bases de la théorie de la réception telle qu'elle est représentée dans les travaux de Jauss, Eco et Greimas), cette thèse se concentre sur l'étude du prologue de l'oeuvre littéraire dont elle élabore une grille de lecture particulière qui tient compte de la complexité de la notion du futur envisagée aux plans grammatical (formes verbales du futur), rhétorique (la figure de la prolepse) et littéraire (les scénarios et les isotopies). La démarche de la lecture détaillée du prologue adoptée au cours de ce travail s'applique d'abord au Chevalier au Lion de Chrétien de Troyes, texte fondateur du corpus, qui constitue, pour parler avec Philippe Walter, un vrai « drame du temps ». L'étude des mécanismes d'anticipation mis en place dans le prologue se prolonge ensuite dans les chapitres consacrés à Claris et Laris et au Chevalier au Lion de Pierre Sala, deux réécritures du célèbre roman du maître champenois. Datant, respectivement, du XIIIe et du début du XVIe siècle, ces oeuvres permettent de saisir le chemin parcouru par le futur dans son aspect thématique et diachronique, ce qui est particulièrement propice au repérage des critères qui influencent l'attente du lecteur par rapport aux événements à venir au fil des siècles. Ainsi, à côté des moyens d'expression « standards » du futur (scénarios intertextuels et isotopies), la présente recherche fait apparaître d'autres facteurs qui influencent l'anticipation, notamment le procédé de la disputatio, le recours à la satire, la démarche de l'engagement indirect et l'opposition vers/prose. La seconde partie de la thèse qui traite, d'un côté, des récits consacrés à la fée Mélusine de Jean d'Arras et de Coudrette, du Livre du Cuer d'amours espris de René d'Anjou de l'autre, sert à vérifier dans quelle mesure la démarche choisie s'applique à des oeuvres du Moyen Âge tardif qui combinent des éléments empruntés à la tradition antérieure avec des éléments d'autre provenance. L'analyse de Mélusine et du Livre du Cuer conduit à ajouter deux facteurs supplémentaires qui influencent l'attente du lecteur, à savoir la démarche de l'engagement partiel et le recours au genre judiciaire. Cette étude démontre que le traitement du futur est d'un enjeu capital pour lire les textes du Moyen Âge, car il permet au lecteur, dès le prologue, de reconnaître la fin vers laquelle tend le récit et de faire par là- même une lecture enrichie, supérieure à d'autres. Telling the Future in the Middle Ages : from the Prologue to the Narrative. From Chrétien de Troyes ' Chevalier au Lion to Pierre Sala 's Chevalier au Lion. Part of the analyses of the time based relations within the texts, the present study deals with the notion of future characterized as an anticipation of the events to come in the narrative. Therefore, the purpose of this research is to bring to light the various mechanisms of anticipation peculiar to the narratives of adventures in the Middle Ages. Making the use of the existing heuristic instruments (the bases of the theory of the reception as it presents itself in the works by Jauss, Eco and Greimas), this thesis is dedicated to the study of the prologue of the work of fiction by means of a particular key for reading which takes into account the complexity of the notion of future with regard to its grammatical side (future tenses), to its rhetorical side (prolepse) and to its literary side (scenario and isotopy). First of all, the close reading of the prologue used in this work is applied to Chrétien de Troyes's Chevalier au Lion (Lion Knight), the founding text of our literary corpus, which represents, according to Philippe Walter, the real « drama of Time ». Then, the study of the mechanisms of anticipation in the prologue is carried over to the chapters devoted to Claris et Laris and to Pierre Sala's Chevalier au Lion, two romances that rewrite Chrétien de Troyes' famous work. Written, respectively, in the XIIIth and in the beginning of the XVI century, these romances enable the reader to ascertain the changes in the manner of telling the future from the thematic and diachronic point of view : this is particularly convenient to the identification of the criteria which influence the reader's expectations relative to the future events in the course of the centuries. Therefore, next to the « standard » means of expression of future (intertextual scenario and isotopy), the present study reveals other factors which influence the anticipation, in particular the method of the disputatio, the use of the satire, the approach of the indirect commitment and the verse/prose opposition. The second part of the thesis which deals with the narratives concerning the fairy Melusine written by Jean d'Arras and by Coudrette on one hand, with René d'Anjou's Livre du Cuer d'amours espris on the other hand, is used to verify to what extent the chosen approach applies to the works of fiction of the Late Middle Ages that combine the elements from the previous tradition with the elements of other origin. The analysis of Melusine's romances and of the Livre du Cuer brings us to add two new factors which influence the reader's expectations : the approach of the partial commitment, and the use of the legal discourse. This study demonstrates that the manner of telling the future is of the utmost importance to read the texts of the Middle Ages, because it enables the reader to know the end of the story from the very beginning, from the prologue, thus leading to a richer and superior reading.

O polinômio de Alexander e o determinante de um nó

Pós-graduação em Matemática em Rede Nacional - IBILCE

O SLA funk de Fernanda Abreu

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Abordagem intersemiótica da literatura na educação básica: desafios e perspectivas

Pós-graduação em Letras - IBILCE

A posição política de Casimiro de Abreu

O artigo se propõe uma análise (mais imanente que genética, mais jurídica que sociológica) da projeção do Estado na obra de Casimiro de Abreu. É um estudo de literatura nacional, é um valor político. O objeto da política é o estado em toda sua extensão. Assim em relação ao governo, ele estigmatiza severamente a administração pública, a despeito da homenagem que presta à família real. Não aceita o conceito fechado, étnico de nação, mas sim, aceita o conceito aberto em que nação é igual a povo sem distinção de raça, classe... O território é o elemento dominante de sua obra. De território deriva o conceito de pátria, do conceito de pátria deriva o conceito de exílio e nostalgia. Não há pois nacionalismo no sentido forte da palavra em sua obra, mas civismo e sobretudo patriotismo onde pátria tem sentido arquétipo de terra dos pais. A pátria se torna, por conseguinte, uma isotopia de leitura que estrutura sua obra aparentemente apenas lírica e chorosa. This paper purports an analysis (more immanent / than genetic, more juridical than sociological) of the projection of the State in Casimiro de Abreu’s work. It is a study of national literature, national being a political value. The object of politics is the State in its whole extension. Thus, in connection with government, he severely stigmatizes public administration in spite of tribute he pays to the royal family. He does not accept the restrict, ethnic concept of nation, accepting instead the wide concept in which nation is equal to people without discrimination of race, class, etc. Territory is the dominant element in this work. The concept of country derives from territory, the concept of exile and nostalgia derives from concept of the country. Therefore, there is no nacionalism, in the strong sense of the word, in his work, but civism and, above all, patriotism, which means that country archetypically signifies the land of the forefathers. Thus, country becomes an isotopy of reading which structures his only apparently lyric and plaintive work.

The influence of petrogenetic processes on the composition of Ocean Island Basalts

Ocean Island Basalts (OIB) provide important information on the chemical and physical characteristics of their mantle sources. However, the geochemical composition of a generated magma is significantly affected by partial melting and/or subsequent fractional crystallization processes. In addition, the isotopic composition of an ascending magma may be modified during transport through the oceanic crust. The influence of these different processes on the chemical and isotopic composition of OIB from two different localities, Hawaii and Tubuai in the Pacific Ocean, are investigated here. In a first chapter, the Os-isotope variations in suites of lavas from Kohala Volcano, Hawaii, are examined to constrain the role of melt/crust interactions on the evolution of these lavas. As 187Os/188Os sensitivity to any radiogenic contaminant strongly depend on the Os content in the melt, Os and other PGE variations are investigated first. This study reveals that Os and other PGE behavior change during the Hawaiian magma differentiation. While PGE concentrations are relatively constant in lavas with relatively primitive compositions, all PGE contents strongly decrease in the melt as it evolved through ~ 8% MgO. This likely reflects the sulfur saturation of the Hawaiian magma and the onset of sulfide fractionation at around 8% MgO. Kohala tholeiites with more than 8% MgO and rich in Os have homogeneous 187Os/188Os values likely to represent the mantle signature of Kohala lavas. However, Os isotopic ratios become more radiogenic with decreasing MgO and Os contents in the lavas, which reflects assimilation of local crust material during fractional crystallization processes. Less than 8% upper oceanic crust assimilation could have produced the most radiogenic Os-isotope ratios recorded in the shield lavas. However, these small amounts of upper crust assimilation have only negligible effects on Sr and Nd isotopic ratios and therefore, are not responsible for the Sr and Nd isotopic heterogeneities observed in Kohala lavas. In a second chapter, fractional crystallization and partial melting processes are constrained using major and trace element variations in the same suites of lavas from Kohala Volcano, Hawaii. This inverse modeling approach allows the estimation of most of the trace element composition of the Hawaiian mantle source. The calculated initial trace element pattern shows slight depletion of the concentrations from LREE to the most incompatible elements, which indicates that the incompatible element enrichments described by the Hawaiian melt patterns are entirely produced by partial melting processes. The “Kea trend” signature of lavas from Kohala Volcano is also confirmed, with Kohala lavas having lower Sr/Nd and La/Th ratios than lavas from Mauna Loa Volcano. Finally, the magmatic evolution of Tubuai Island is investigated in a last chapter using the trace element and Sr, Nd, Hf isotopic variations in mafic lava suites. The Sr, Nd and Hf isotopic data are homogeneous and typical for the HIMU-type OIB and confirms the cogenetic nature of the different mafic lavas from Tubuai Island. The trace element patterns show progressive enrichment of incompatible trace elements with increasing alkali content in the lavas, which reflect progressive decrease in the degree of partial melting towards the later volcanic events. In addition, this enrichment of incompatible trace elements is associated with relative depletion of Rb, Ba, K, Nb, Ta and Ti in the lavas, which require the presence of small amount of residual phlogopite and of a Ti-bearing phase (ilmenite or rutile) during formation of the younger analcitic and nephelinitic magmas.

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.

Calcium isotope ratios of porewaters of ODP Leg 204 holes

The calcium isotopic composition of porewaters and authigenic carbonates in the anoxic sediments of a convergent continental margin drilled during Ocean Drilling Program (ODP) provides first insight into the different processes that control Ca geochemistry in clastic marine, organic-rich sedimentary environments. In 4 sites drilled during Leg 204 at Hydrate Ridge (Cascadia Margin, offshore Oregon/USA), sulfate is consumed during anaerobic oxidation of methane and of organic matter via sulfate reduction within the upper meters of the sedimentary section. These reactions promote the precipitation of authigenic carbonates through the generation of bicarbonate, which is reflected in a pronounced decrease in calcium concentration. Although Ca isotope fractionation is observed during carbonate precipitation, Ca concentration in the pore fluids from ODP Leg 204 is decoupled from Ca isotopy, which seems to be mainly controlled by the release of light Ca isotopes that completely overprint the carbonate formation effect. Different processes, such as the release of organically bound Ca, ion exchange and ion pair formation may be responsible for the released light Ca. Deeper within the sedimentary section, additional processes such as ash alteration influence the Ca isotopic composition of the porewater. Two sites, drilled into the deeper core of the accretionary prism, reveal the nature of fluids which have reacted with the oceanic basement. These deep fluids are characterized by relatively high Ca concentrations and low d44/40Ca ratios.

Geochemical and isotopic composition of basalts from the axial Mid-Atlantic Ridge, South Atlantic

One of the essential problems of oceanic tectonics is estimation of the influence of plumes of the deep hot mantle on processes in the axial spreading zone. Areas of two giant (St. Helena and Tristan da Cunha) plumes in the Mid-Atlantic Ridge (MAR) rift zone (South Atlantic) are characterized by the effusion of basalts that differ from typical depleted riftogenic tholeiites by anomalously high contents of lithophile components and specific isotopic compositions. Moreover, the rift valley floor with basalt effusion is significantly uplifted above the adjacent sectors of the rift. The formation of the St. Helena Seamount located 400 km east of the MAR axis is related to magmatism that is active to this day. St. Helena Island is a member of the structural ensemble of large volcanic seamounts (Bonaparte, Bagration, and Kutuzov). Like St. Helena Island, each seamount incorporates a series of smaller rises of different morphologies and dimensions. Thus, a system of subparallel series of NE-trending (~45°) rises extend from the seamount ensemble to the African continent. According to the plate tectonics concept, the seamount series represent hotspots related to a deep mantle plume that can be projected onto the present-day St. Helena Island area (St. Helena plume). At the same time, the inferred topographic map based on satellite altimetry data shows that the seamount series also extend along the opposite southwestern direction (~225°) toward the axial MAR and even intersect the latter structure. This fact cannot be explained by the hotspot hypothesis, which suggests stationary positions of plumes relative to the mobile oceanic plate. In the course of Cruise 10 of the R/V Akademik Ioffe (2002), detailed geological and geophysical investigations were carried out at the junction of one structural series with the MAR rift zone located near the Martin Vaz Fracture Zone (Martin Vaz test area, 19°-20° S). The present communication is devoted to the study of lithology, geochemistry, and isotopy of basalts dredged at the test area.

Caracterização geocronológica (U-Pb), geoquímica e isotópica (Sr, Nd, Hf) do complexo Rio Capivari no terreno Embu

O Complexo Rio Capivari (CRC) é constituído por ortognaisses migmatíticos de composições graníticas a tonalíticas e anfibolitos subordinados (magmas toleíticos) em lascas tectônicas no Terreno Embu. As composições dos gnaisses do CRC são predominantemente cálcio-alcalinas a álcali-cálcicas. Idades U-Pb em núcleos de zircão com zoneamento oscilatório indicam cristalização magmática dos protólitos em três períodos principais 2.4, 2.2-2.1 e 2.0 Ga. Idades metamórficas foram reconhecidas em bordas de zircão totalmente escuras nas imagens de catodoluminescência e variam entre 620-590 Ma. A suíte sideriana (2.4 Ga) apresenta caráter juvenil, como evidenciado pelos valores positivos de \'\'épsilon\'\'IND.Nd\' (+3.8) e \'\'épsilon\'\'IND.Hf\' (+0.3 a +4.8) e pela ausência de núcleos de zircão herdado, comumente encontrados em rochas que sofreram retrabalhamento crustal. A suíte de idades riacianas (2.2-2.1 Ga) apresenta idades modelos TDM arqueanas (2.6-3.3 Ga), valores negativos de \'\'épsilon\'\'IND.Nd\' (-12.0 a -4.0) e negativos a levemente positivos de \'\'épsilon\'\'IND.Hf\' (-7.8 a +0.5). Portanto, tais rochas derivam de retrabalhamento de reservatórios crustais antigos. A suíte de idade orosiriana (2.0 Ga) apresenta fontes mais antigas e retrabalhadas com valores altamente negativos de \'\'épsilon\'\'IND.Nd\' (-10.4) e \'\'épsilon\'\'IND.Hf\' (-1.2 a -13.6), sugerindo prolongada residência crustal com idades modelo \'T IND.DM\' e \'T IND.Hf\' >3.3 Ga. As assinaturas de elementos traços em rocha total e a química de zircão sugerem fontes máficas para o gnaisse sideriano. Reservatórios de crosta média, mas de profundidades variáveis, parecem ser a principal fonte dos gnaisses riacianos e orosirianos. Análises em diagramas tectônicos discriminantes baseados em elementos traços de rocha total com elevadas razões \'La/Yb IND.(N)\' (>10), Nb/Yb (>2) e Th/Yb (>1), somados aos valores de \'Y IND.2\'\'O IND.3\' (<3000 ppm), U/Yb (>0.5) e Nb/Yb (0.01-0.10) da química de zircão, sugerem que ambas as suítes de idades foram geradas em ambientes de arco magmático continental, mas com um gap de 200-300 Ma entre o gnaisse sideriano e os gnaisses riacianos sem dados ou informações geológicas. Perfis multielementos (elementos traços) comparativos entre representação de amostras típicas de arco continental associado à subducção de crosta oceânica (margem andina) e amostras de arcos de ilha (Ilhas Mariana) confirmam afinidade com ambiente de arco continental para o CRC, associado à subducção de placa oceânica, principalmente para o gnaisse sideriano. Apesar de pouco representativo, devido ao número de amostras (n=1), uma acresção juvenil em 2.4 Ga colabora para uma dinâmica contínua da evolução da crosta continental. O papel desempenhado pelo CRC na evolução geral do Terreno Embu permanece enigmático. Os dados isotópicos de \'\'épsilon\'\'IND.Nd(590)\' e \'ANTPOT.87 Sr\'/\'ANTPOT.88 Sr IND.(i)\' do CRC (-27.3 a -19.7 e 0.704 a 0.722, respectivamente) indicam evolução temporal não compatível com o requerido para as fontes dos granitos ediacaranos do Terreno Embu, que exigem a participação de reservatórios mais primitivos (\'\'épsilon\'\'IND.Nd(590)\' -13 a -7) e empobrecidos em Rb (\'ANTPOT.87 Sr\'/\'ANTPOT.88 Sr IND.(i)\' \'\'QUASE IGUAL A\' 0,710).

A census of critical sets in the Latin squares of order at most six

A critical set in a Latin square of order n is a set of entries from the square which can be embedded in precisely one Latin square of order n, Such that if any element of the critical set. is deleted, the remaining set can be embedded, in more than one Latin square of order n.. In this paper we find all the critical sets of different sizes in the Latin squares of order at most six. We count the number of main and isotopy classes of these critical sets and classify critical sets from the main classes into various strengths. Some observations are made about the relationship between the numbers of classes, particularly in the 6 x 6 case. Finally some examples are given of each type of critical set.

Hydrothermale Dolomitisierung im Kauffunger Kalkstein (Paläozoikum - W-Sudeten, Polen

Within the Kauffung Limestone dolomite bodies related to volcanic contacts occure and are interpreted as a post-Variscan, hydrothermal volcanogenic formation. Two genetic dolomite types are discernible: a pervasive replacement saddle dolomite and a cavity filling saddle dolomite cement. Micro texture and oxygen isotopy of both dolomite types refer to heightened temperatures of formation. The ocurrence of the dolomite in contact to cross-cutting rhyolithic dikes points to a close petrogenetic relation. Dolomite bodies and rhyolithic injections in contrast to the rock wall are characterized by a distinctive cavernous texture, so that a prekinematic genesis is excluded. The formation of replacement saddle dolomite and saddle dolomite cement altogether are considered as a concomitant phenomenon of the Permo-Carboniferous volcanism widespread in the Bober-Katzbach Mountains.