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math.DG2020
A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds
Matthias Ludewig, Zelin Yi
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…
math.DG2020★ 1 cited
A Groupoid Proof of the Lefschetz fixed point formula
Zelin Yi
The purpose of this article is to present a "Groupoid proof" to the Lefschetz fixed point formula for elliptic complexes. We shall define a "relative version" of tangent groupoid,…