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- Topological Invariants of Stratified Spaces
Topological Invariants of Stratified Spaces
Angebote / Angebote:
The central theme of this book is the restoration of Poincaré dualityon stratified singular spaces by using Verdier-self-dual sheaves suchas 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 explainthe construction as well as algebraic and geometric properties ofinvariants such as the signature and characteristic classes effectuatedby self-dual sheaves.
Highlights never before presented in book form include complete andvery detailed proofs of decomposition theorems for self-dual sheaves, explanation of methods for computing twisted characteristic classesand an introduction to the author's theory of non-Witt spaces andLagrangian structures.
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