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2016 Surgery obstructions and Heegaard Floer homology
Jennifer Hom, Çağrı Karakurt, Tye Lidman
Geom. Topol. 20(4): 2219-2251 (2016). DOI: 10.2140/gt.2016.20.2219

Abstract

Using Taubes’ periodic ends theorem, Auckly gave examples of toroidal and hyperbolic irreducible integer homology spheres which are not surgery on a knot in the three-sphere. We use Heegaard Floer homology to give an obstruction to a homology sphere being surgery on a knot, and then use this obstruction to construct infinitely many small Seifert fibered examples.

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Jennifer Hom. Çağrı Karakurt. Tye Lidman. "Surgery obstructions and Heegaard Floer homology." Geom. Topol. 20 (4) 2219 - 2251, 2016. https://doi.org/10.2140/gt.2016.20.2219

Information

Received: 7 January 2015; Revised: 12 August 2015; Accepted: 10 November 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1352.57021
MathSciNet: MR3548466
Digital Object Identifier: 10.2140/gt.2016.20.2219

Subjects:
Primary: 57M27 , 57R58 , 57R65

Keywords: $3$–manifold , Dehn surgery , Floer homology

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.20 • No. 4 • 2016
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