A combinatorial approach to surgery formulas in Heegaard Floer homology

Eftekhary, Eaman

doi:10.2140/agt.2009.9.2225

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A combinatorial approach to surgery formulas in Heegaard Floer homology

Eaman Eftekhary

Algebraic & Geometric Topology 9 (2009) 2225–2246

DOI: 10.2140/agt.2009.9.2225

Abstract

Using the combinatorial approach to Heegaard Floer homology, we obtain a relatively easy formula for computation of the groups $\hat{HF} (Y_{p ∕ q} (K), ℤ ∕ 2 ℤ)$ , where $Y_{p ∕ q} (K)$ is the three-manifold obtained by $p ∕ q$ –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

Volume 9, issue 4 (2009)