A note on surgery obstructions and hyperbolic integer homology spheres
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- by Jennifer Hom and Tye Lidman PDF
- Proc. Amer. Math. Soc. 146 (2018), 1363-1365 Request permission
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.References
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Additional Information
- Jennifer Hom
- Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
- MR Author ID: 923914
- ORCID: 0000-0003-4839-8276
- Email: hom@math.gatech.edu
- Tye Lidman
- Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27607
- MR Author ID: 808881
- Email: tlid@math.ncsu.edu
- Received by editor(s): May 4, 2017
- Published electronically: December 7, 2017
- Additional Notes: The first author was partially supported by NSF grants DMS-1128155, DMS-1307879, DMS-1552285, and a Sloan Research Fellowship.
The second author was supported by NSF grant DMS-1128155. - Communicated by: David Futer
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1363-1365
- MSC (2010): Primary 57M29, 57R58
- DOI: https://doi.org/10.1090/proc/13925
- MathSciNet review: 3750247