# Teichmueller space and topological field theory in two dimensions

*by Ezra Getzler *

*Institution:*Northwestern University

*Date: Thu 7th August 2008*

*Time: 3:15 PM*

*Location: Alice Hoy 330, The University of Melbourne*

*Abstract*: A topological field theory in d dimensions associates to each

(d-1)-dimensional closed manifold M an inner-product space V(M), and to

each d-dimensional manifold W with boundary M a vector v(W) in V(M),

satisfying certain natural axioms; for example, V(-) takes disjoint

unions

to tensor products, and behaves well under diffeomorphisms. There are

many

flavours of topological field theories - one may for example assume that

all of the manifolds are oriented, or spin, or carry a free action of a

finite group G.

*For More Information:* Arun Ram A.Ram@ms.unimelb.edu.au