Higher Index Theory
$194.11
- Hardcover
592 pages
- Release Date
2 July 2020
Summary
Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to generalize the classical Fredholm index using tools from the K-theory of operator algebras. This leads to higher index theory, a rapidly developing subject with connections to noncommutative geometry, large-scale geometry, manifold topology and geometry, …
Book Details
| ISBN-13: | 9781108491068 |
|---|---|
| ISBN-10: | 1108491065 |
| Author: | Rufus Willett, Guoliang Yu |
| Publisher: | Cambridge University Press |
| Imprint: | Cambridge University Press |
| Format: | Hardcover |
| Number of Pages: | 592 |
| Release Date: | 2 July 2020 |
| Weight: | 940g |
| Dimensions: | 234mm x 158mm x 36mm |
| Series: | Cambridge Studies in Advanced Mathematics |
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What They're Saying
Critics Review
‘This book is an exceptional blend of clear, concise, delightfully written exposition and thorough scholarship. The book also has much to offer more experienced researchers.’ Peter Haskell, European Mathematical Society
About The Author
Rufus Willett
Rufus Willett is Professor of Mathematics at the University of Hawaii, Manoa. He has interdisciplinary research interests across large-scale geometry, K-theory, index theory, manifold topology and geometry, and operator algebras.
Guoliang Yu is the Powell Chair in Mathematics and University Distinguished Professor at Texas A & M University. He was an invited speaker at the International Congress of Mathematicians in 2006, is a Fellow of the American Mathematical Society and a Simons Fellow in Mathematics. His research interests include large-scale geometry, K-theory, index theory, manifold topology and geometry, and operator algebras.
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