Index Theory, Coarse Geometry, and Topology of Manifolds |
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Author:
| Roe, John |
Series title: | CBMS Regional Conference Series in Mathematics Ser. |
ISBN: | 978-0-8218-0413-1 |
Publication Date: | Jul 1996 |
Publisher: | American Mathematical Society
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Book Format: | Paperback |
List Price: | AUD $33.00 |
Book Description:
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The Atiyah-Singer index theorem is one of the most powerful tools for relating geometry, analysis, and topology. In its original form, however, it applies only to compact manifolds. This book describes a version of index theory which works for noncompact spaces with appropriate control, such as complete Riemannian manifolds.
The Atiyah-Singer index theorem is one of the most powerful tools for relating geometry, analysis, and topology. In its original form, however, it applies only to compact manifolds. This book describes a version of index theory which works for noncompact spaces with appropriate control, such as complete Riemannian manifolds.