Rank inequalities for the Heegaard Floer homology of branched covers

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.

25 pages. V2: minor revisions. Accepted for publication in Documenta Mathematica

References in corpus (4)

• Knot Floer homology detects fibred knots
• Hamiltonian handleslides for Heegaard Floer homology
• On the monopole Lefschetz number of finite order diffeomorphisms
• Equivariant Floer theory and double covers of three-manifolds

Cited by in corpus (1)

• Involutions, knots, and Floer K-theory