Cosmetic surgeries on knots in \(S^3\)
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Publication:499880
DOI10.1515/CRELLE-2013-0067zbMATH Open1328.57010arXiv1009.4720OpenAlexW2964192399MaRDI QIDQ499880
Author name not available (Why is that?)
Publication date: 7 October 2015
Published in: (Search for Journal in Brave)
Abstract: Two Dehn surgeries on a knot are called {it purely cosmetic}, if they yield manifolds that are homeomorphic as oriented manifolds. Suppose there exist purely cosmetic surgeries on a knot in , we show that the two surgery slopes must be the opposite of each other. One ingredient of our proof is a Dehn surgery formula for correction terms in Heegaard Floer homology.
Full work available at URL: https://arxiv.org/abs/1009.4720
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