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On contact modulo p L-space covers

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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.

fields

math.GT 1

years

2024 1

verdicts

CONDITIONAL 1

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  • The monodromy diffeomorphism of weighted singularities and Seiberg--Witten theory math.GT · 2024-11-19 · conditional · none · ref 2023 · internal anchor

    Boundary Dehn twists on indefinite symplectic fillings of negatively-oriented Seifert rational homology spheres have infinite order, so the monodromy of weighted-homogeneous surface singularities is infinite order except for rational double points.