Eugenio Landi (Università degli Studi Roma Tre)
17:00 - 18:00 Zoom
18 March 2021

The Witten genus as the "volume" of the double loop space


Witten introduced his genus in 1986 as a suitable index of a Dirac operator on the loop space of a manifold. In this talk I will recover the Witten genus using the localization theorem in equivariant cohomology, proving that it can be thought of as the "volume" of the double loop space. This is a joint work in progress with Mattia Coloma and Domenico Fiorenza.