Bunke, Ulrich and Naumann, Niko (2014) Secondary invariants for string bordism and topological modular forms. BULLETIN DES SCIENCES MATHEMATIQUES, 138 (8). pp. 912-970. ISSN 0007-4497, 1952-4773
Full text not available from this repository. (Request a copy)Abstract
Using spectral invariants of Dirac operators we construct a secondary version of the Witten genus, namely a bordism invariant of string manifolds in dimensions 4m - 1. We prove a secondary index theorem which relates this global-analytic construction with its homotopy-theoretic analog. The latter will be calculated through its factorization over topological modular forms. (C) 2014 Elsevier Masson SAS. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COBORDISM; MANIFOLDS; Higher spectral invariants; Topological modular forms; Witten genus; String manifolds |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Aug 2019 07:19 |
| Last Modified: | 07 Aug 2019 07:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/9103 |
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