Ammann, Bernd and Dahl, Mattias and Humbert, Emmanuel (2015) Low-dimensional surgery and the Yamabe invariant. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 67 (1). pp. 159-182. ISSN 0025-5645,
Full text not available from this repository. (Request a copy)Abstract
Assume that M is a compact n-dimensional manifold and that N is obtained by surgery along a k-dimensional sphere, k <= n - 3. The smooth Yamabe invariants sigma(M) and sigma(N) satisfy sigma(N) >= min(sigma(M), Lambda) for a constant Lambda > 0 depending only on n and k. We derive explicit positive lower bounds for A in dimensions where previous methods failed, namely for (n, k) is an element of {(4, 1), (5, 1), (5, 2), (6, 3), (9, 1), (10, 1)}. With methods from surgery theory and bordism theory several gap phenomena for smooth Yamabe invariants can be deduced.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SPIN COBORDISM; MANIFOLDS; CONSTANTS; Yamabe invariant; surgery; symmetrization |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Aug 2019 08:50 |
| Last Modified: | 02 Aug 2019 08:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6313 |
Actions (login required)
 |
View Item |
