On contact modulo p L-space covers

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.