A surgery triangle for lattice cohomology

Greene, Josh

doi:10.2140/agt.2013.13.441

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A surgery triangle for lattice cohomology

Joshua Evan Greene

Algebraic & Geometric Topology 13 (2013) 441–451

DOI: 10.2140/agt.2013.13.441

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

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

Volume 13, issue 1 (2013)