### Abstract

Using the link surgery formula for Heegaard Floer homology we find a spectral sequence from the lattice homology of a plumbing tree to the Heegaard Floer homology of the corresponding 3-manifold. This spectral sequence shows that for graphs with at most two “bad” vertices, the lattice homology is isomorphic to the Heegaard Floer homology of the underlying 3-manifold.

Original language | English (US) |
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Pages (from-to) | 487-521 |

Number of pages | 35 |

Journal | Quantum Topology |

Volume | 5 |

Issue number | 4 |

DOIs | |

State | Published - 2014 |

### All Science Journal Classification (ASJC) codes

- Mathematical Physics
- Geometry and Topology

### Keywords

- Heegaard Floer homology
- Lattice homology
- Spectral sequence

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## Cite this

Ozsváth, P., Stipsicz, A. I., & Szabó, Z. (2014). A Spectral sequence on lattice homology.

*Quantum Topology*,*5*(4), 487-521. https://doi.org/10.4171/QT/56