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Topological Invariants of Stratified Spaces
The central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. After carefully introducing sheaf theory, derived categories, Verdier duality, stratification...
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| Auteur principal : | |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Topological Invariants of Stratified Spaces / M. Banagl |
| Édition : | 1st ed. 2007. |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
| Collection : | Springer monographs in mathematics (Internet) |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | Elementary Sheaf Theory. Homological Algebra. Verdier Duality. Intersection Homology. Characteristic Classes and Smooth Manifolds. Invariants of Witt Spaces. T-Structures. Methods of Computation. Invariants of Non-Witt Spaces. L2 Cohomology |
| Sujets : | |
| Documents associés : | Autre format:
Topological invariants of stratified spaces Autre format: Topological Invariants of Stratified Spaces Autre format: Topological Invariants of Stratified Spaces Autre format: Topological invariants of stratified spaces |
| Résumé : | The central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. After carefully introducing sheaf theory, derived categories, Verdier duality, stratification theories, intersection homology, t-structures and perverse sheaves, the ultimate objective is to explain the construction as well as algebraic and geometric properties of invariants such as the signature and characteristic classes effectuated by self-dual sheaves. Highlights never before presented in book form include complete and very detailed proofs of decomposition theorems for self-dual sheaves, explanation of methods for computing twisted characteristic classes and an introduction to the author's theory of non-Witt spaces and Lagrangian structures |
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| Notes : | L'impression du document génère 265 p. |
| Bibliographie : | Bibliogr. Index |
| ISBN : | 3-54038-587-8 978-3-540-38587-5 |
| DOI : | 10.1007/3-540-38587-8 |