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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, stratificatio...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2007.
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| Edición: | 1st ed. 2007. |
| Colección: | Springer Monographs in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-540-38587-5 | ||
| 003 | DE-He213 | ||
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| 020 | |a 9783540385875 |9 978-3-540-38587-5 | ||
| 024 | 7 | |a 10.1007/3-540-38587-8 |2 doi | |
| 050 | 4 | |a QA611-614.97 | |
| 072 | 7 | |a PBP |2 bicssc | |
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| 082 | 0 | 4 | |a 514 |2 23 |
| 100 | 1 | |a Banagl, Markus. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Topological Invariants of Stratified Spaces |h [electronic resource] / |c by Markus Banagl. |
| 250 | |a 1st ed. 2007. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2007. | |
| 300 | |a XII, 264 p. 14 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Monographs in Mathematics, |x 2196-9922 | |
| 505 | 0 | |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. | |
| 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 | 0 | |a Topology. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 1 | 4 | |a Topology. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Algebraic Topology. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642072482 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540828532 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540385851 |
| 830 | 0 | |a Springer Monographs in Mathematics, |x 2196-9922 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/3-540-38587-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||