Rank inequalities for the Heegaard Floer homology of branched covers

Kristen Hendricks; Tye Lidman; Robert Lipshitz

doi:10.4171/dm/878

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arXiv · 2007.03023

Rank inequalities for the Heegaard Floer homology of branched covers

Kristen Hendricks·Tye Lidman·Robert Lipshitz

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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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Kristen Hendricks, Tye Lidman, Robert Lipshitz. 2020-07-06. Rank inequalities for the Heegaard Floer homology of branched covers. https://doi.org/10.4171/dm/878

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