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On contact modulo p L-space covers

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arxiv 2307.02552 v1 pith:WJFVZ4XV submitted 2023-07-05 math.SG math.GT

Bruno Roso This is my paper · ORCID
classification math.SGmath.GT
keywords cohomologycontactborelequivariantfloerl-spacesstructuresachieved
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The purpose of this article is to extend certain results of Roso (2023) which concerned equivariant contact structures on minimal L-spaces to the more general setting of mod p L-spaces. This is achieved by considering the Serre spectral sequence of the Borel Floer cohomology as showcased in Baraglia & Hekmati (2021). Along the way, the author introduces two new numerical invariants of equivariant contact structures which emerge from the structure of the Borel Floer cohomology as a module over the group cohomology.

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