A mod 2 index theorem for pin$^-$ manifolds
Differential Geometry
2015-08-12 v1 K-Theory and Homology
Abstract
We establish a mod 2 index theorem for real vector bundles over 8k+2 dimensional compact pin manifolds. The analytic index is the reduced invariant of (twisted) Dirac operators and the topological index is defined through -theory. Our main result extends the mod 2 index theorem of Atiyan and Singer to non-orientable manifolds.
Keywords
Cite
@article{arxiv.1508.02619,
title = {A mod 2 index theorem for pin$^-$ manifolds},
author = {Weiping Zhang},
journal= {arXiv preprint arXiv:1508.02619},
year = {2015}
}
Comments
21 pages. MSRI Preprint No. 053-94