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Topological invariants of stratified spaces

Author: Markus Banagl
Publisher: Berlin ; New York : Springer, ©2007.
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Springer e-books
Summary:
"The central theme of this book is the restoration of Poincare 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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Banagl, Markus, 1971-
Topological invariants of stratified spaces.
Berlin ; New York : Springer, ©2007
(DLC) 2006693517
(OCoLC)79447463
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Markus Banagl
ISBN: 9783540385875 3540385878 3540385851 9783540385851 9786610803811 6610803811
OCLC Number: 184984728
Description: 1 online resource (xi, 259 pages) : illustrations.
Contents: 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.
Series Title: Springer monographs in mathematics.
Responsibility: M. Banagl.
More information:

Abstract:

The central theme of this book is the restoration of Poincare duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex  Read more...

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From the reviews:"This is an excellent book, highly recommended to anyone interested in studying the topology of singular spaces. With modest prerequisites, the author defines intersection homology Read more...

 
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