Documents  55N25 | enregistrements trouvés : 17

- 570 p.
ISBN 978-4-931469-67-9

Advanced studies in pure mathematics , 0062

Localisation : Collection 1er étage

géométrie combinatoire # analyse combinatoire énumérative # théorie des treillis # singularités # paramétrisation # arrangement des hyperplans # homologie

14-06 ; 14B05 ; 14C05 ; 14N20 ; 16W25 ; 32G34 ; 32S22 ; 33C70 ; 52C35 ; 55N25 ; 00B25

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- x; 319 p.
ISBN 978-3-0346-0208-2

Progress in mathematics , 0283

Localisation : Collection 1er étage

singularités # système local # arrangement # hyperplan

52C35 ; 32S22 ; 55N25 ; 14C21 ; 32J25 ; 32S20 ; 32S35 ; 20F34 ; 05E25 ; 06A07 ; 14F35 ; 55R80 ; 13D02

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- 298 p.
ISBN

Astérisque , 0191

Localisation : Périodique 1er étage

55S37 ; 55P60 ; 55P62 ; 55R20 ; 13H10 ; 55N20 ; 19L41 ; 58A12 ; 55T10 ; 55P42 ; 55R91 ; 55M25 ; 58F22 ; 55S10 ; 55R35 ; 55T15 ; 55Q05 ; 18G50 ; 55Q15 ; 55R40 ; 57T10 ; 57P10 ; 13D10 ; 55P15 ; 18F25 ; 18G35 ; 55N25

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- 278 p.
ISBN 978-4-314-10140-0

Advanced studies in pure mathematics , 0027

Localisation : Collection 1er étage

topologie algébrique # plusieurs variables complexes # espace analytique # singularité # arrangement # arrangement d'hyperplan # espace fibré # faisceau # configuration d'espace # variété discriminante

32S22 ; 55N25 ; 33C70 ; 20F36

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- 120 p.
ISBN 978-2-7606-0288-5

Séminaire de mathématiques supérieures , 108

Localisation : Salle de manutention

homotopie # immersion # méthode différentielle # méthode variationelle # plongement de variété dans un espace euclidien # problème non linéaire # représentation des variétés # structures d'homotopie # topologie non équivariante # topologie équivariante # variété de Grassmann

55N25 ; 57R85 ; 57Txx

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Research talks;Partial Differential Equations;Geometry;Topology

Reidemeister torsion was the first topological invariant that could distinguish between spaces which were homotopy equivalent but not homeomorphic. The Cheeger-Müller theorem established that the Reidemeister torsion of a closed manifold can be computed analytically. I will report on joint work with Frédéric Rochon and David Sher on finding a topological expression for the analytic torsion of a manifold with fibered cusp ends. Examples of these manifolds include most locally symmetric spaces of rank one. We establish our theorem by controlling the behavior of analytic torsion as a space degenerates to form hyperbolic cusp ends. Reidemeister torsion was the first topological invariant that could distinguish between spaces which were homotopy equivalent but not homeomorphic. The Cheeger-Müller theorem established that the Reidemeister torsion of a closed manifold can be computed analytically. I will report on joint work with Frédéric Rochon and David Sher on finding a topological expression for the analytic torsion of a manifold with fibered cusp ends. Examples of these ...

58J52 ; 58J05 ; 58J50 ; 58J35 ; 55N25 ; 55N33

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Research talks;Mathematical Physics

Condensed matter electronic systems endowed with odd time-reversal symmetry (TRS) (a.k.a. class AII topological insulators) show topologically protected phases which are described by an invariant known as Fu-Kane-Mele index. The construction of this in- variant, in its original form, is specific for electrons in a periodic background and is not immediately generalizable to other interesting physical models where different forms of TRS also play a role. By exploiting the fact that system with an odd TRS (in absence of disorder) can be classified by Quaternionic vector bundles, we introduce a Quaternionic topological invariant, called FKMM-invariant, which generalizes and explains the topological nature of the Fu-Kane-Mele index. We show that the FKMM-invariant is a universal characteristic class which can be defined for Quaternionic vector bundles in full generality, independently of the particular nature of the base space. Moreover, it suffices to discriminate among different topological phases of system with an odd TRS in low dimension. As a particular application we describe the complete classification over a big class of low dimensional involutive spheres and tori. We also compare our classification with recent results concerning the description of topological phases for two-dimensional adiabatically perturbed systems.
Joint work with: K. Gomi. Condensed matter electronic systems endowed with odd time-reversal symmetry (TRS) (a.k.a. class AII topological insulators) show topologically protected phases which are described by an invariant known as Fu-Kane-Mele index. The construction of this in- variant, in its original form, is specific for electrons in a periodic background and is not immediately generalizable to other interesting physical models where different forms of TRS also play ...

57R22 ; 55N25 ; 53C80 ; 19L64

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- 177 p.
ISBN 978-3-540-68375-9

Universitext

Localisation : Ouvarge RdC (ORLI)

combinatoire algébrique # Syzygies # résolution libre # arrangements hyperplanes # topologie algébrique # cohomologie équivariante # cw-complexe # théorie de Morse discrète

13D02 ; 32S22 ; 52C35 ; 05E99 ; 55N25 ; 55U15

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- 236 p.
ISBN 978-3-540-20665-1

Universitext

Localisation : Ouvrage RdC (DIMC)

topologie # méthode transcendentale # singularité # cohomologie # faisceau # faisceau constructible # coefficient de faisceau # catégorie dérivée # faisceau complexe # dualité de Verdier # D-module

14C30 ; 14Fxx ; 14F40 ; 32S60 ; 55N25 ; 55N30

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- 452 p.
ISBN 978-3-7643-2189-5

Monografie matematyszne , 0063

Localisation : Ouvrage RdC (SCHU)

topologie # espace singulier # faisceau constructible # complexe cellulaire # ensemble semi-algébrique # ensemble sous-analytique # ensemble algébrique complexe # espace stratifié # espace de quotient # fibration de Milnox # géométrie réelle # localisation # point fixe # cohomologie # lemme de Thom # théorie de Morse

14-02 ; 14F17 ; 14F25 ; 14F45 ; 14Pxx ; 32-02 ; 32C18 ; 32F10 ; 32F27 ; 30B20 ; 32Sxx ; 03C64 ; 55N25 ; 55N30 ; 55N33 ; 55N91

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- 149 p.

London mathematical society lecture note series , 0018

Localisation : Disparu

approche géométrique # complexe CW # faisceau # foncteur d'homotopie # gerbe de Mock # opération # théorie de l'homologie # théorie équivariante

55N25 ; 55N30 ; 55Nxx ; 55Pxx ; 55Sxx

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Lecture notes in mathematics , 0034

Localisation : Collection 1er étage

G- spectre # G-espace de Hopf # cohomologie équivariante classique ou généralisée # espace G-fibré # espace de fonction # fibration # spectre # suite de Puppe # théorie d'obstruction équivariante # théorie de cohomologie équivariante

19L47 ; 55N20 ; 55N25 ; 55N91 ; 55R05

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- 431 p.
ISBN 978-3-540-16820-1

Lecture notes in mathematics , 1213

Localisation : Collection 1er étage

cohomologie # homotopie # topologie algébrique

55-02 ; 55M05 ; 55M35 ; 55N20 ; 55N25

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- 73 p.

Localisation : Ouvrage RdC (ZHOU)

cellularisation # classe de Chern # classe de Chern bivariante # géométrie analytique # obstruction # singularité # théorie bivariante # topologie algébrique

55N07 ; 55N10 ; 55N25 ; 55R10 ; 55R25

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- 102 p.

Bonner mathematische schriften , 0202

Localisation : Publication 1er étage

cohomologie # geometrie algebrique

55N25

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- 105 p.

Bonner mathematische schriften , 0201

Localisation : Publication 1er étage

cohomologie # espace complexe # topologie algebrique

55N25

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