Bunke, Ulrich and Naumann, Niko (2010) Secondary invariants for string cobordism and tmf. Preprintreihe der Fakultät Mathematik 10/2010, Working Paper. (Unpublished)
| PDF Download (508kB) |
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.
Export bibliographical data
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Status: | Unpublished |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 |