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Thursday, December 2, 2010 - 1:30pm

Ron Donagi

Penn

Location

University of Pennsylvania

DRL 2N3

We´ll conclude the discussion of the ring structure on the quantum cohomology of a toric variety X with values in an omalous bundle V, e.g. a deformation of the cotangent bundle of X. The multiplication on quantum cohomology is defined in terms of an integral over the GLSM moduli space, a particular compactification of the space of maps from a curve to X. For toric X, this compactification is itself toric. An important part of the problem is therefore to determine the ring structure on classical vector bundle (or: coherent sheaf) valued cohomology of a toric variety.