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On contact modulo p L-space covers

2023/07/05 by Roso, Bruno
#57K33 #57M10 #57R58 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2307.02552

Abstract

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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