Zentner, Raphael (2014) A vanishing result for a Casson-type instanton invariant. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 109. pp. 1507-1548. ISSN 0024-6115, 1460-244X
Full text not available from this repository. (Request a copy)Abstract
Casson-type invariants emerging from Donaldson theory over certain negative-definite four-manifolds were recently suggested by Teleman. These are defined by an algebraic count of points in a zero-dimensional moduli space of flat instantons. Motivated by the cobordism programme of proving Witten's conjecture, we use a moduli space of PU(2) Seiberg-Witten monopoles to exhibit an oriented one-dimensional cobordism of the instanton moduli space to the empty space. The Casson-type invariant must therefore vanish.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MODULI SPACES; PU(2) MONOPOLES; GAUGE-THEORY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Aug 2019 07:53 |
| Last Modified: | 07 Aug 2019 07:53 |
| URI: | https://pred.uni-regensburg.de/id/eprint/9097 |
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