Intersection homology is a version of homology theory that extends PoincarΓ© duality and its applications to stratified spaces, such as singular varieties. This is the first comprehensive expository book-length introduction to intersection homology from the viewpoint of singular and piecewise-linear
Singular Intersection Homology
β Scribed by Greg Friedman
- Publisher
- CUP
- Year
- 2020
- Tongue
- English
- Leaves
- 822
- Series
- New Mathematical Monographs 33
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Contents
Preface
Notations and Conventions
1 Introduction
2 Stratified Spaces
3 Intersection Homology
4 Basic Properties of Singular and PL Intersection
Homology
5 MayerβVietoris Arguments and Further Properties of
Intersection Homology
6 Non-GM Intersection Homology
7 Intersection Cohomology and Products
8 PoincarΓ© Duality
9 Witt Spaces and IP Spaces
10 Suggestions for Further Reading
A - Algebra
B - An Introduction to Simplicial and PL Topology
References
Glossary of Symbols
Index
π SIMILAR VOLUMES
<p><p>This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads
<DIV>This self-contained text is suitable for advanced undergraduate and graduate students and may be used either after or concurrently with courses in general topology and algebra. It surveys several algebraic invariants: the fundamental group, singular and Cech homology groups, and a variety of co