A note on surgery obstructions and hyperbolic integer homology spheres

Jennifer Hom; Tye Lidman

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arXiv · 1604.06047

A note on surgery obstructions and hyperbolic integer homology spheres

Jennifer Hom·Tye Lidman

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Abstract

Auckly gave two examples of irreducible integer homology spheres (one toroidal and one hyperbolic) which are not surgery on a knot in the three-sphere. Using Heegaard Floer homology, the authors and Karakurt provided infinitely many small Seifert fibered examples. In this note, we extend those results to give infinitely many hyperbolic examples, as well as infinitely many examples with arbitrary JSJ decomposition.

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Jennifer Hom, Tye Lidman. 2016-04-20. A note on surgery obstructions and hyperbolic integer homology spheres. https://arxiv.org/abs/1604.06047

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