Skip to main content

Seminar Gæsteforelæsning

20.02.2023   kl. 15:00 - 16:00

QM Research seminar: Maurer-Cartan element from perturbative Chern-Simons theory

Speaker: Pavel Hajek (University of Hamburg)

Abstract:

I will explain how we use perturbative Chern-Simons theory to construct a Maurer-Cartan element in the canonical bi-Lie algebra on cyclic Hochschild cochains of de Rham cohomology. I will illustrate this on the example of S^1. I will outline relations of the twisted homotopy algebra to geometric structures on the loop space and in symplectic geometry.