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Secondary invariants for string cobordism and tmf
Bunke, Ulrich and Naumann, Niko (2010) Secondary invariants for string cobordism and tmf. Preprintreihe der Fakultät Mathematik 10/2010, Working Paper. (Unpublished)Date of publication of this fulltext: 19 Jul 2010 08:49
Monograph
DOI to cite this document: 10.5283/epub.15921
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.
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Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 10/2010 |
| Date | 2010 |
| Institutions | Mathematics > Prof. Dr. Niko Naumann |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Unpublished |
| Refereed | No, this version has not been refereed yet (as with preprints) |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-159216 |
| Item ID | 15921 |
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