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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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2007. |
| Colecção: | Springer Monographs in Mathematics
|
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 265 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topological invariants of stratified spaces, M. Banagl, Berlin, Springer, 2007, 1 vol. (XI-259 p.), Springer monographs in mathematics, 3-540-38585-1 • Topological Invariants of Stratified Spaces, Texte imprimé, 9783642072482 • Topological Invariants of Stratified Spaces, Texte imprimé, 9783540828532 • Topological invariants of stratified spaces, M. Banagl, Berlin, Springer, 2007, 1 vol. (XI-259 p.), Springer monographs in mathematics, 3-540-38585-1 |
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| 009 | PPN123156785 | ||
| 020 | |a 3540385878 (e-book) | ||
| 020 | |a 9783540385875 (e-book) | ||
| 041 | 0 | |a eng | |
| 082 | |a 514 | ||
| 084 | |a 55N33. 2010 | ||
| 084 | |a 32S60. 2010 | ||
| 084 | |a 57R20. 2010 | ||
| 100 | 1 | |a Banagl, Markus, |d 1971-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Topological Invariants of Stratified Spaces |c M. Banagl. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a L'impression du document génère 265 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |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 | ||
| 650 | |a Cohomologie | ||
| 650 | |a Homologie | ||
| 650 | |a Topologie algébrique | ||
| 776 | 0 | |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 |z 3-540-38585-1 | |
| 776 | 0 | |t Topological Invariants of Stratified Spaces |b Texte imprimé |z 9783642072482 | |
| 776 | 0 | |t Topological Invariants of Stratified Spaces |b Texte imprimé |z 9783540828532 | |
| 776 | 0 | |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 |z 3-540-38585-1 | |
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