Ludewig, Matthias and Yi, Zelin (2023) A short proof of the localization formula for the loop space Chern character of spin manifolds. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 17 (1). pp. 189-210. ISSN 1661-6952, 1661-6960
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CYCLIC HOMOLOGY; Tangent groupoid; Bismut-Chern character; Chern character; JLO cocycle; cyclic cohomology; entire cohomology; Atiyah-Singer index theorem |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Mar 2024 09:20 |
| Last Modified: | 10 Mar 2024 09:20 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59502 |
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