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Moduli Spaces Program Seminar: Sheel Ganatra, Stanford

Title: Cyclic homology and S^1-equivariant symplectic cohomology
Speaker:  Sheel Ganatra, Stanford
Date: Tuesday, June 10, 2014
Time: 2:30pm-3:30pm
Place: Seminar Room 313, Simons Center



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Abstract: In this talk, we study two natural circle actions in Floer theory, one on symplectic cohomology and one on the Hochschild homology of the Fukaya category. We show that the geometric open-closed string map between these two complexes is S^1-equivariant, at a suitable chain level. In particular, there are induced maps between equivariant homology theories, natural with respect to Gysin sequences, which are isomorphisms whenever the non-equivariant map is.