A short proof of the localization formula for the loop space Chern character of spin manifolds
Matthias Ludewig
Universität Regensburg, GermanyZelin Yi
Tongji University, Shanghai, China
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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 , using the rescaled spinor bundle on the tangent groupoid associated to .
Cite this article
Matthias Ludewig, Zelin Yi, A short proof of the localization formula for the loop space Chern character of spin manifolds. J. Noncommut. Geom. 17 (2023), no. 1, pp. 189–210
DOI 10.4171/JNCG/464