Introduction to Intersection Homology Theory
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A01=Frances Kirwan
A01=Jonathan Woolf
advanced intersection cohomology applications
algebraic topology
Author_Frances Kirwan
Author_Jonathan Woolf
Category=PBPD
cohomology
complex
constant
derived categories
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
group representation theory
lie
perverse sheaves
projective
rham
sheaf
singular spaces
space
variety
vector
Witt spaces duality
Product details
- ISBN 9781584881841
- Weight: 476g
- Dimensions: 156 x 234mm
- Publication Date: 07 Jun 2006
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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Now more that a quarter of a century old, intersection homology theory has proven to be a powerful tool in the study of the topology of singular spaces, with deep links to many other areas of mathematics, including combinatorics, differential equations, group representations, and number theory.
Like its predecessor, An Introduction to Intersection Homology Theory, Second Edition introduces the power and beauty of intersection homology, explaining the main ideas and omitting, or merely sketching, the difficult proofs. It treats both the basics of the subject and a wide range of applications, providing lucid overviews of highly technical areas that make the subject accessible and prepare readers for more advanced work in the area. This second edition contains entirely new chapters introducing the theory of Witt spaces, perverse sheaves, and the combinatorial intersection cohomology of fans.
Intersection homology is a large and growing subject that touches on many aspects of topology, geometry, and algebra. With its clear explanations of the main ideas, this book builds the confidence needed to tackle more specialist, technical texts and provides a framework within which to place them.
