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

Journal of noncommutative geometry

article

Matthias Ludewig¹  Zelin Yi² 

[1] Universität Regensburg;Tongji University

关键词: Tangent groupoid;    Bismut–Chern character;    Chern character;    JLO cocycle;    cyclic cohomology;    entire cohomology;    Atiyah–Singer index theorem;   

DOI  :  10.4171/jncg/464

学科分类：神经科学

来源: European Mathematical Society

【 摘 要 】

In this note, we give a short proof of the localization formula for the loop space Chern character of a compact Riemannian spin manifold MMM, using the rescaled spinor bundle on the tangent groupoid associated to MMM.

【 授权许可】

CC BY