Volume 9, issue 4 (2009)

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A combinatorial approach to surgery formulas in Heegaard Floer homology

Eaman Eftekhary

Algebraic & Geometric Topology 9 (2009) 2225–2246
Abstract

Using the combinatorial approach to Heegaard Floer homology, we obtain a relatively easy formula for computation of the groups  HF ̂(Y pq(K), 2), where Y pq(K) is the three-manifold obtained by pq–surgery on a knot K inside a homology sphere Y .

Keywords
Seifert fibered, Heegaard Floer homology
Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57R58
References
Publication
Received: 25 February 2008
Revised: 16 September 2009
Accepted: 17 September 2009
Published: 27 October 2009
Authors
Eaman Eftekhary
School of Mathematics
Institute for Research in Fundamental Sciences (IPM)
PO Box 19395-5746
Tehran
Iran