Comparing Homological Invariants for Mapping Classes of Surfaces
نویسندگان
چکیده
We compare two different types of mapping class invariants: the Hochschild homology an A∞ bimodule coming from bordered Heegaard Floer and fixed point cohomology. first compute invariants their in genus case. then resulting computations to cohomology make a conjecture that are isomorphic. also discuss construction map potentially giving isomorphism. It comes as open-closed context surface viewed 0-dimensional Lefschetz fibration over complex plane.
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2021
ISSN: ['0026-2285', '1945-2365']
DOI: https://doi.org/10.1307/mmj/1599271513