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- W4226054926 abstract "By examining the homology groups of a 4-manifold associated to an integral surgery on a knot $K$ in a rational homology 3-sphere $Y$ yielding a rational homology 3-sphere $Y^*$ with surgery dual knot $K^*$, we show that the subgroups generated by $[K]$ and $[K^*]$ in $H_1(Y)$ and $H_1(Y^*)$, respectively, have co-prime orders. We obtain an immediate corollary that, in conjunction with an argument of Lidman and Moore, proves the cosmetic crossing conjecture for knots whose branched double covers are Heegaard Floer L-spaces." @default.
- W4226054926 created "2022-05-05" @default.
- W4226054926 creator A5086475765 @default.
- W4226054926 date "2021-12-20" @default.
- W4226054926 modified "2023-10-16" @default.
- W4226054926 title "Alternating knots do not admit cosmetic crossings" @default.
- W4226054926 doi "https://doi.org/10.48550/arxiv.2112.10980" @default.
- W4226054926 hasPublicationYear "2021" @default.
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