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Algebraic Topology and Physics Seminar, Week 10

Algebraic Topology and Physics Seminar Week 10: Sheldon Katz, "Quantum Sheaf Cohomology".

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