Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668794 | Bulletin des Sciences Mathématiques | 2014 | 59 Pages |
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−14m−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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ulrich Bunke, Niko Naumann,