Cosmetic surgeries on knots in S^3

Yi Ni Caltech Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:1709.15001

Distinguished Paper Award in 2018

J. reine angew. Math, 706, 1-17, 2015
Two Dehn surgeries on a knot are called purely cosmetic, if they yield manifolds that are homeomorphic as oriented manifolds. Suppose there exist purely cosmetic surgeries on a knot in S^3, 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.
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  title={Cosmetic surgeries on knots in S^3},
  author={Yi Ni, and Zhongtao Wu},
  booktitle={J. reine angew. Math},
Yi Ni, and Zhongtao Wu. Cosmetic surgeries on knots in S^3. 2015. Vol. 706. In J. reine angew. Math. pp.1-17.
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