Ludewig, Matthias (2024) The Clifford Algebra Bundle on Loop Space. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 20: 020. ISSN 1815-0659,
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We construct a Clifford algebra bundle formed from the tangent bundle of the smooth loop space of a Riemannian manifold, which is a bundle of super von Neumann algebras on the loop space. We show that this bundle is in general non -trivial, more precisely that its triviality is obstructed by the transgressions of the second Stiefel-Whitney class and the first (fractional) Pontrjagin class of the manifold.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TRANSGRESSION; INVERSE; GERBES; loop spaces; Clifford algebra; string geometry; von Neumann algebra bundles |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Denis-Charles Cisinski |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jul 2025 12:26 |
| Last Modified: | 15 Jul 2025 12:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/63464 |
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