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• W2766094612 abstract "We compare two different types of mapping class invariants: the Hochschild homology of an $A_infty$ bimodule coming from bordered Heegaard Floer homology, and fixed point Floer cohomology. We first compute the bimodule invariants and their Hochschild homology in the genus two case. We then compare the resulting computations to fixed point Floer cohomology, and make a conjecture that the two invariants are isomorphic. We also discuss a construction of a map potentially giving the isomorphism. It comes as an open-closed map in the context of a surface being viewed as a $0$-dimensional Lefschetz fibration over the complex plane." @default.
• W2766094612 created "2017-11-10" @default.
• W2766094612 creator A5045006747 @default.
• W2766094612 date "2017-02-14" @default.
• W2766094612 modified "2023-09-27" @default.
• W2766094612 title "Comparing homological invariants for mapping classes of surfaces" @default.
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