Nantilus
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...
Enregistré dans:
| Auteur principal : | |
|---|---|
| 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 |
| LEADER | 04497clm a2200757 4500 | ||
|---|---|---|---|
| 001 | PPN123156785 | ||
| 003 | http://www.sudoc.fr/123156785 | ||
| 005 | 20241001154600.0 | ||
| 010 | |a 3-54038-587-8 |b e-book | ||
| 010 | |a 978-3-540-38587-5 |b e-book | ||
| 017 | 7 | 0 | |a 10.1007/3-540-38587-8 |2 DOI |
| 035 | |a (OCoLC)652713226 | ||
| 035 | |a Springer978-3-540-38587-5 | ||
| 035 | |a SPRINGER_EBOOKS_LN_PLURI_10.1007/3-540-38587-8 | ||
| 035 | |a Springer-11649-978-3-540-38587-5 | ||
| 100 | |a 20080410f20 k y0frey0103 ba | ||
| 101 | 0 | |a eng |2 639-2 | |
| 102 | |a DE | ||
| 105 | |a a a 001yy | ||
| 135 | |a dr||||||||||| | ||
| 181 | |6 z01 |c txt |2 rdacontent | ||
| 181 | 1 | |6 z01 |a i# |b xxxe## | |
| 182 | |6 z01 |c c |2 rdamedia | ||
| 182 | 1 | |6 z01 |a b | |
| 183 | |6 z01 |a ceb |2 RDAfrCarrier | ||
| 200 | 1 | |a Topological Invariants of Stratified Spaces |f M. Banagl | |
| 205 | |a 1st ed. 2007. | ||
| 214 | 0 | |a Berlin, Heidelberg |c Springer Berlin Heidelberg | |
| 214 | 2 | |a Cham |c Springer Nature |d [20..] | |
| 225 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 303 | |a L'impression du document génère 265 p. | ||
| 320 | |a Bibliogr. Index | ||
| 327 | 1 | |a Elementary Sheaf Theory |a Homological Algebra |a Verdier Duality |a Intersection Homology |a Characteristic Classes and Smooth Manifolds |a Invariants of Witt Spaces |a T-Structures |a Methods of Computation |a Invariants of Non-Witt Spaces |a L2 Cohomology | |
| 330 | |a 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 | ||
| 371 | 0 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | |
| 371 | 0 | |a Accès soumis à abonnement pour tout autre établissement | |
| 371 | 1 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales |c https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | |
| 410 | | | |0 15966067X |t Springer monographs in mathematics (Internet) |x 2196-9922 | |
| 452 | | | |0 114031347 |t Topological invariants of stratified spaces |f M. Banagl |c Berlin |n Springer |d 2007 |p 1 vol. (XI-259 p.) |s Springer monographs in mathematics |y 3-540-38585-1 | |
| 452 | | | |t Topological Invariants of Stratified Spaces |b Texte imprimé |y 9783642072482 | |
| 452 | | | |t Topological Invariants of Stratified Spaces |b Texte imprimé |y 9783540828532 | |
| 452 | | | |0 114031347 |t Topological invariants of stratified spaces |f M. Banagl |c Berlin |n Springer |d 2007 |p 1 vol. (XI-259 p.) |s Springer monographs in mathematics |y 3-540-38585-1 | |
| 606 | |3 PPN031444709 |a Cohomologie |2 rameau | ||
| 606 | |3 PPN027424626 |a Homologie |2 rameau | ||
| 606 | |3 PPN027720012 |a Topologie algébrique |2 rameau | ||
| 610 | 1 | |a Mathematics | |
| 610 | 2 | |a Topology | |
| 610 | 2 | |a Algebraic Topology | |
| 610 | 2 | |a Differential Geometry | |
| 615 | |a Mathematics and Statistics |n 11649 |2 Springer | ||
| 676 | |a 514 |v 23 | ||
| 680 | |a QA611-614.97 | ||
| 686 | |a 55N33 |c 2010 |2 msc | ||
| 686 | |a 32S60 |c 2010 |2 msc | ||
| 686 | |a 57R20 |c 2010 |2 msc | ||
| 700 | 1 | |3 PPN069193436 |a Banagl |b Markus |f 1971-.... |c mathématicien |4 070 | |
| 801 | 3 | |a FR |b Abes |c 20240911 |g AFNOR | |
| 801 | 1 | |a DE |b Springer |c 20211020 |g AACR2 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/3-540-38587-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-5JNMHRNT-2 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 441099901:830845879 |u https://budistant.univ-nantes.fr/login?url=https://doi.org/10.1007/3-540-38587-8 | |
| 915 | |5 441099901:830845879 |b SPRING18-00194 | ||
| 930 | |5 441099901:830845879 |b 441099901 |j g | ||
| 991 | |5 441099901:830845879 |a Exemplaire créé en masse par ITEM le 30-09-2024 15:59 | ||
| 997 | |a NUM |b SPRING18-00194 |d NUMpivo |e EM |s d | ||
| 998 | |a 977694 | ||