An Introduction to Intersection Homology Theory - Hardcover

Kirwan, Frances; Woolf, Jonathan

Hardcover

ISBN 10: 1584881844 ISBN 13: 9781584881841

Publisher: Chapman and Hall/CRC, 2006

Synopsis

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.

About this title

About the Author

Frances Kirwan, Jonathan Woolf

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2006
• Language: English
• ISBN 10: 1584881844
• ISBN 13: 9781584881841
• Binding: Hardcover
• Edition number: 2
• Number of pages: 246