## Geometry & Topology

### Surgery obstructions and Heegaard Floer homology

#### 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.

#### Article information

Source
Geom. Topol., Volume 20, Number 4 (2016), 2219-2251.

Dates
Revised: 12 August 2015
Accepted: 10 November 2015
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.gt/1510859024

Digital Object Identifier
doi:10.2140/gt.2016.20.2219

Mathematical Reviews number (MathSciNet)
MR3548466

Zentralblatt MATH identifier
1352.57021

#### Citation

Hom, Jennifer; Karakurt, Çağrı; Lidman, Tye. Surgery obstructions and Heegaard Floer homology. Geom. Topol. 20 (2016), no. 4, 2219--2251. doi:10.2140/gt.2016.20.2219. https://projecteuclid.org/euclid.gt/1510859024

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