A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds
Differential Geometry
2020-10-13 v1 Mathematical Physics
K-Theory and Homology
math.MP
Abstract
In this note, we give a short proof of the localization formula for the loop space Chern character of a compact Riemannian spin manifold M, using the rescaled spinor bundle on the tangent groupoid associated to M.
Cite
@article{arxiv.2010.05892,
title = {A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds},
author = {Matthias Ludewig and Zelin Yi},
journal= {arXiv preprint arXiv:2010.05892},
year = {2020}
}
Comments
19 pages