Volume 13, issue 1 (2013)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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 HF+. We prove a surgery exact triangle for the lattice cohomology analogous to the one for HF+. 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
References
Publication
Received: 12 June 2012
Accepted: 12 October 2012
Published: 6 March 2013
Authors
Joshua Evan Greene
Department of Mathematics
Boston College
Carney Hall
Chestnut Hill, MA 02467
USA