#### Volume 13, issue 1 (2013)

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A surgery triangle for lattice cohomology

### Joshua Evan Greene

Algebraic & Geometric Topology 13 (2013) 441–451
##### Abstract

Lattice cohomology, defined by Némethi in [Publ. Res. Inst. Math. Sci. 44 (2008) 507–543], is an invariant of negative definite plumbed $3$–manifolds which conjecturally computes their Heegaard Floer homology $H{F}^{+}$. We prove a surgery exact triangle for the lattice cohomology analogous to the one for $H{F}^{+}$. This is a step towards relating these two invariants.

##### Keywords
Heegaard Floer homology, lattice cohomology, plumbed manifold
##### Mathematical Subject Classification 2010
Primary: 57R58
Secondary: 57M27, 53D40, 11H55