Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Matthias Ludewig
Affiliation:

MPIM
Date:

Wed, 2017-11-15 10:30 - 12:00 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. This provides a rigorous background for supersymmetry proofs of

the Atiyah-Singer Index theorem.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/3946