Topological Invariants of Stratified Spaces
Language: English
Published by Springer, 2010
- Softcover
- New

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pp. 276.
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- Title
- Topological Invariants of Stratified Spaces
- Author
- Markus Banagl
- Publisher
- Springer
- Publication year
- 2010
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3642072488
- ISBN 13
- 9783642072482
- Series
- Book 40 of 187: Springer Monographs in Mathematics
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.
"Synopsis" may belong to another edition of this title.
About the Author
EMPLOYMENT: Since 2004: Professor at the Ruprecht-Karls-Universität Heidelberg, Germany
2002 - 2004: Assistant Professor (tenure track) at the University of Cincinnati, USA
1999 - 2002: Van Vleck Assistant Professor at the University of Wisconsin - Madison, USA
EDUCATION: Ph.D. Mathematics, Courant Institute (New York University), May 1999.
Field: Topology.
Dissertation Title: Extending Intersection Homology Type Invariants to non-Witt Spaces.
RESEARCH AREA: Algebraic and Geometric Topology, Stratified Spaces.
"About the title" may belong to another edition of this title.
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