We show that if L is a nullhomologous link in a 3-manifold Y and Σ(Y, L) is a double cover of Y branched along L then for each spinc-structure s on Y there is an inequality dim HF (Σ(Y, L), π∗s; F2) ≥ dim HF (Y, s; F2). 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.
|Original language||English (US)|
|Number of pages||32|
|State||Published - 2022|
All Science Journal Classification (ASJC) codes
- branched covers
- Heegaard Floer homology