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Dehn surgery and
nonseparating two-spheres
Jennifer Hom and Tye Lidman |
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Vol. 5 (2022), No. 1, 145–153
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Abstract |
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When can surgery on a nullhomologous knot in a rational homology sphere produce a nonseparating sphere? We use Heegaard Floer homology to give sufficient conditions for to be unknotted. We also discuss some applications to homology cobordism, concordance, and Mazur manifolds. |
Keywords
Dehn surgery, Heegaard Floer homology
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Mathematical Subject Classification
Primary: 57K10, 57K18, 57K30
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Milestones
Received: 4 November 2020
Revised: 23 March 2021
Accepted: 28 April 2021
Published: 27 October 2022
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Authors |
| Jennifer Hom | |
| School of Mathematics Georgia Institute of Technology Atlanta, GA United States |
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| Tye Lidman | |
| Department of Mathematics North Carolina State University Raleigh, NC United States |
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