A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds

2020/10/12 by Matthias Ludewig, Ludewig, Matthias, Zelin Yi +1
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #K-Theory and Homology (math.KT) #Mathematical Physics (math-ph) #math-ph #math.DG #math.KT #math.MP

paper · pdf · doi:10.48550/arxiv.2010.05892

19 pages

arxiv created 2020/10/12 · arxiv updated 2020/10/13

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.

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