Title: Quantum Sheaf Cohomology
Speaker: Sheldon Katz, University of Illinois at Urbana-Champaign
Date: Tuesday, April 17, 2012
Time: 10:30am – 12:00pm
Place: Seminar Room 313, Simons Center
Abstract:
Given a smooth toric variety X and a deformation E of its tangent bundle TX, a quantum sheaf cohomology ring is rigorously defined mathematically as a quantum deformation of the algebra H^ (X,\Lambda^* E^*) and proven to have the requisite properties. If E = TX, the ordinary quantum cohomology ring of X is recovered. Results agree with and extend known results of physics. This is joint work with Ron Donagi, Josh Guffin, and Eric Sharpe