2018/04/06 by Ran Tao, Tao, Ran
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics
paper · pdf · doi:10.48550/arxiv.1804.02210
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 S3 do not admit purely cosmetic surgeries. In this article, we confirm this conjecture for cable knots.