Rank inequalities for the Heegaard Floer homology of branched covers

2020/07/06 by Hendricks, Kristen, Lidman, Tye, Lipshitz, Robert · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2007.03023

Abstract

Given a double cover between 3-manifolds branched along a nullhomologous link, we establish an inequality between the dimensions of their Heegaard Floer homologies. We discuss the relationship with the L-space conjecture and give some other topological applications, as well as an analogous result for sutured Floer homology.

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• A note on real Heegaard Floer homology and localization

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