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- W4318337917 startingPage "2941" @default.
- W4318337917 abstract "Given a band sum of a split two-component link along a nontrivial band, we obtain a family of knots indexed by the integers by adding any number of full twists to the band. We show that the knots in this family have the same Heegaard knot Floer homology and the same instanton knot Floer homology. In contrast, a generalization of the cosmetic crossing conjecture predicts that the knots in this family are all distinct. We verify this prediction by showing that any two knots in this family have distinct Khovanov homology. Along the way, we prove that each of the three knot homologies detects the trivial band." @default.
- W4318337917 created "2023-01-28" @default.
- W4318337917 creator A5017854682 @default.
- W4318337917 date "2022-12-31" @default.
- W4318337917 modified "2023-10-03" @default.
- W4318337917 title "The cosmetic crossing conjecture for split links" @default.
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- W4318337917 doi "https://doi.org/10.2140/gt.2022.26.2941" @default.
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