Topological Invariants of Stratified Spaces
Produktnummer:
188d53912ffdfe4bdba0a4f9241f506df4
| Autor: | Banagl, Markus |
|---|---|
| Themengebiete: | Characteristic Classes Characteristic class Intersection Homology Self-dual Sheaves Singularities Stratified Spaces homology |
| Veröffentlichungsdatum: | 09.01.2007 |
| EAN: | 9783540385851 |
| Sprache: | Englisch |
| Seitenzahl: | 264 |
| Produktart: | Gebunden |
| Verlag: | Springer Berlin |
Produktinformationen "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.The book first carefully introduces sheaf theory, derived categories, Verdier duality, stratification theories, intersection homology, t-structures and perverse sheaves. It then explains 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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