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2011 Knots which admit a surgery with simple knot Floer homology groups
Eaman Eftekhary
Algebr. Geom. Topol. 11(3): 1243-1256 (2011). DOI: 10.2140/agt.2011.11.1243

Abstract

We show that if a positive integral surgery on a knot K inside a homology sphere X results in an induced knot KnXn(K)=Y which has simple Floer homology then n2g(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.

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Eaman Eftekhary. "Knots which admit a surgery with simple knot Floer homology groups." Algebr. Geom. Topol. 11 (3) 1243 - 1256, 2011. https://doi.org/10.2140/agt.2011.11.1243

Information

Received: 19 March 2010; Revised: 31 August 2010; Accepted: 11 December 2010; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1258.57006
MathSciNet: MR2801417
Digital Object Identifier: 10.2140/agt.2011.11.1243

Subjects:
Primary: 57M27
Secondary: 57R58

Rights: Copyright © 2011 Mathematical Sciences Publishers

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