The equivalence of lattice and Heegaard Floer homology
We prove Némethi’s conjecture: If Y is a 3-manifold which is the boundary of a plumbing of a tree of disk bundles over S2, then the lattice homology of Y coincides with the Heegaard Floer homology of Y. We also give a conjectural description of the Λ∗H1(Y)∕Tors-action when b1(Y)>0.
Authors
- Ian Zemke (ORCID: https://orcid.org/0000-0002-8267-8549)
Institutions
- Princeton University (US)
Publication Details
- Journal
- Duke Mathematical Journal
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1215/00127094-2024-0044
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00