Title: Generalizations of the theorem of Moore and Seiberg in 2 dimensional topological field theory

Date: 12/06/2016

Time: 1:00 PM - 1:50 PM

Place: C304 Wells Hall

Speaker: Ezra Getzler, Northwestern University

The Teichmüller space of a compact Riemann surface has a natural bordification: that is, there is a real-analytic manifold with corners containing Teichmüller space as its top-dimensional stratum, such that the action of the mapping class-group extends to the boundary. This construction is due to Harvey. In this talk, I discuss generalizations of this construction in the presence of cusps and orbifold points: this leads to a generalization of the Moore-Seiberg theorem, which may be formulated as the statement that the 2-skeleton of this bordification is simply connected. We also give analogues for real Riemann surfaces, which allows us to extend these results to open/closed topological field theories in 2 dimensions.