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Title:
Quantum Sheaf Cohomology
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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.
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