Seminar series
Date
Mon, 10 Mar 2014
15:30
15:30
Location
L6
Speaker
Jeff Giansiracusa
Organisation
Swansea
Open 2d TCFTs correspond to cyclic A-infinity algebras, and Costello showed
that any open theory has a universal extension to an open-closed theory in
which the closed state space (the value of the functor on a circle) is the
Hochschild homology of the open algebra. We will give a G-equivariant
generalization of this theorem, meaning that the surfaces are now equipped
with principal G-bundles. Equivariant Hochschild homology and a new ribbon
graph decomposition of the moduli space of surfaces with G-bundles are the
principal ingredients. This is joint work with Ramses Fernandez-Valencia.