Intersections on moduli spaces of bundles and Grassmannian TQFTs.
Alina Marian (UIC)

Some of the most interesting intersection numbers on the moduli space of rank r bundles on a Riemann surface satisfy straightforward degeneration rules, and can therefore be integrated in a 2d topological quantum field theory. This TQFT is based on representations of the unitary group U(r) and is closely related to the quantum cohomology of a suitable Grassmannian. I will describe the theory and discuss this circle of ideas, which originated in a classic paper of Witten.

Colloquium, Department of Mathematics, Rice University
October 23, 2008, 4-5PM, HB 227

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