Geodesic
Cosmetic surgeries on genus one knots
Wang, Jiajun1
1Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720, USA
Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1491-1517
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

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In this paper, we prove that there are no truly cosmetic surgeries on genus one classical knots. If the two surgery slopes have the same sign, we give the only possibilities of reflectively cosmetic surgeries. The result is an application of Heegaard Floer theory and number theory.

DOI : 10.2140/agt.2006.6.1491
Keywords: cosmetic surgery, knot, Heegaard Floer homology, cyclotomic number

Wang, Jiajun  1

1 Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720, USA 
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Wang, Jiajun. Cosmetic surgeries on genus one knots. Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1491-1517. doi: 10.2140/agt.2006.6.1491

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