Chataur and Menichi showed that the homology of the free loop space of the classifying space of a compact Lie group admits a rich algebraic structure: It is part of a homological field theory, and so admits operations parametrised by the homology of mapping class groups. I will present a new construction of this field theory that improves on the original in several ways: It enlarges the family of admissible Lie groups. It extends the field theory to an open-closed one. And most importantly, it allows for the construction of co-units in the theory. This is joint work with Anssi Lahtinen.
- Topology Seminar