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
Greene, Josh  1
@article{10_2140_agt_2013_13_441,
author = {Greene, Josh},
title = {A surgery triangle for lattice cohomology},
journal = {Algebraic and Geometric Topology},
pages = {441--451},
year = {2013},
volume = {13},
number = {1},
doi = {10.2140/agt.2013.13.441},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2013.13.441/}
}
Greene, Josh. A surgery triangle for lattice cohomology. Algebraic and Geometric Topology, Tome 13 (2013) no. 1, pp. 441-451. doi: 10.2140/agt.2013.13.441
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