Symplectic Topology and Mirror Symmetry: Christopher Woodward

Chris Woodward

Title: No Escape: Invariance of Quantum Cohomology of Toric Orbifolds Under Flops
Speaker: Christopher Woodward
Date: Tuesday, May 28, 2013
Time: 2:15pm – 3:15pm
Place: Seminar Room 313, Simons Center



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Abstract I will describe an interpretation, joint with E. Gonzalez, of the critical values of the Givental potential for toric orbifolds as singularities of the minimal model program, and logs of the eigenvalues of quantum multiplication by c_1 as the transition times in the minimal model program. I will then explain why this implies that there are no “critical value escapes” under flops, which implies invariance of the quantum cohomologies up to analytic continuation, which is a special case of Ruan’s crepant transformation conjecture (and predicted by the physics of gauged sigma models.