| Speaker: | Constantin Teleman (UC Berkeley) |
|---|---|
| Title: | The structure of 2D semi-simple field theories |
| Date (JST): | Tue, Dec 14, 2010, 15:30 - 17:30 |
| Place: | Seminar Room A |
| Abstract: | I classify all cohomological 2D field theories based on a semi-simple complex Frobenius algebra A: they are controlled by a linear combination of kappa-classes and by an extension datum to the Deligne-Mumford boundary. Their effect on the Gromov-Witten potential is described by Givental's Fock space formulae. This leads to the reconstruction of Gromov-Witten invariants from the quantum cup-product at a single semi-simple point, confirming Givental's higher-genus reconstruction conjecture. This in turn implies the Virasoro conjecture for manifolds with semi-simple quantum cohomology. The proof uses the Mumford conjecture proved by Madsen-Weiss. |
