Gueneysu, Batu and Ludewig, Matthias (2022) The Chern character of nu-summable Fredholm modules over dg algebras and localization on loop space. ADVANCES IN MATHEMATICS, 395: 108143. ISSN 0001-8708, 1090-2082
Full text not available from this repository. (Request a copy)Abstract
We introduce the notion of a v-summable Fredholm module over a locally convex dg algebra omega and construct its Chern character as a cocycle on the entire cyclic complex of omega, extending the construction of Jaffe, Lesniewski and Osterwalder to a differential graded setting. Using this Chern character, we prove an index theorem involving an abstract version of a Bismut-Chern character constructed by Getzler, Jones and Petrack in the context of loop spaces. Our theory leads to a rigorous construction of the path integral for N = 1/2 supersymmetry which satisfies a DuistermaatHeckman type localization formula on loop space.(C) 2021 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ATIYAH-SINGER INDEX; SUPERSYMMETRY; COHOMOLOGY; FORMULAS; HOMOLOGY; THEOREM; Atiyah-Singer index theorem; Localization on loop space; Chern character |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Jan 2024 08:22 |
| Last Modified: | 26 Jan 2024 08:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57271 |
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