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Geometry Seminar

“Supersymmetric Path Integrals: Integrating Differential Forms on the Loop Space”

We construct an integral map for differential forms on the loop space of Riemannian spin manifolds. For example, Bismut-Chern character forms are integrable with respect to this map, with their integrals given by indices of Dirac operators. Moreover, the map satisfies a localization principle, which provides a rigorous background for path integral proofs of the Atiyah-Singer Index theorem by Atiyah, Witten, Bismut and others.

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Geometry Seminar
Matthias Ludewig
April 18, 2018
3:15 PM - 4:15 PM