Volume 11, issue 3 (2011)

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Knots which admit a surgery with simple knot Floer homology groups

Eaman Eftekhary

Algebraic & Geometric Topology 11 (2011) 1243–1256
Abstract

We show that if a positive integral surgery on a knot K inside a homology sphere X results in an induced knot Kn Xn(K) = Y which has simple Floer homology then n 2g(K). Moreover, for X = S3 the three-manifold Y is an L–space, and the Heegaard Floer homology groups of K are determined by its Alexander polynomial.

Keywords
simple knot Floer homology, L–space surgery
Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57R58
References
Publication
Received: 19 March 2010
Revised: 31 August 2010
Accepted: 11 December 2010
Published: 4 May 2011
Authors
Eaman Eftekhary
School of Mathematics
Institute for Research in Fundamental Sciences (IPM)
PO Box 19395-5746
Tehran 19395
Iran