| An Introduction to Intersection Homology Theory Contributor(s): Kirwan, Frances (Author), Woolf, Jonathan (Author) |
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ISBN: 1584881844 ISBN-13: 9781584881841 Publisher: CRC Press OUR PRICE: $109.25 Product Type: Hardcover - Other Formats Published: June 2006 Annotation: Huge advances in intersection homology theory along with significant applications of the theory have emerged in diverse areas of mathematics. Introduction to Intersection Homology Theory provides an introduction to the subject that is easily accessible to graduate students. This second edition features a chapter on intersection homology of toric varieties and the link with the theory of convex polytopes. It also includes material on Zucker's conjecture and recent progress. In addition, it discusses the historical background to the development of homology theory. Based on a course taught by the author, this textbook remains essential for graduate students in this area. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Mathematics | Number Theory |
| Dewey: 514.23 |
| LCCN: 2005056029 |
| Physical Information: 0.72" H x 6.38" W x 9.28" (1.04 lbs) 246 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |