A surgery triangle for lattice cohomology

Abstract

Lattice cohomology, defined by Némethi in (arXiv:0709.0841), is an invariant of negative definite plumbed 3-manifolds which conjecturally computes the Heegaard Floer homology HF^+. We prove a surgery exact triangle for the lattice cohomology analogous to the one for HF^+. This is a step towards comparing these two invariants.

9 pages

References in corpus (3)

• On the Floer homology of plumbed three-manifolds
• On the Ozsvath-Szabo invariant of negative definite plumbed 3-manifolds
• Lattice cohomology of normal surface singularities

Cited by in corpus (5)

• Lattice cohomology and Seiberg-Witten invariants of normal surface singularities
• Instanton Floer homology of almost-rational plumbings
• Knot lattice homology in L-spaces
• Knots in lattice homology
• The analytic lattice cohomology of isolated singularities