JournalsjncgVol. 17, No. 1pp. 189–210

A short proof of the localization formula for the loop space Chern character of spin manifolds

  • Matthias Ludewig

    Universität Regensburg, Germany

  • Zelin Yi

    Tongji University, Shanghai, China
A short proof of the localization formula for the loop space Chern character of spin manifolds cover
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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