Cable knots do not admit cosmetic surgeries

Published 6 Apr 2018 in math.GT | (1804.02210v1)

Abstract: Two Dehn surgeries on a knot are called purely cosmetic if their surgered manifolds are homeomorphic as oriented manifolds. Gordon conjectured that non-trivial knots in $S^3$ do not admit purely cosmetic surgeries. In this article, we confirm this conjecture for cable knots.

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Authors (1)

Ran Tao

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