Bunke, Ulrich and Naumann, Niko (2010) Secondary invariants for string cobordism and tmf. Preprintreihe der Fakultät Mathematik 10/2010, Working Paper. (Unpublished)
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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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| Item type: | Monograph (Working Paper) |
|---|---|
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
| 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| Status: | Unpublished |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 |
| Item ID: | 15921 |
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