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Creators/Authors contains: "Kotelskiy, Artem"

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  1. ; ; ; ; (, Mathematische Annalen)
    Abstract We prove an equivariant version of the Cosmetic Surgery Conjecture for strongly invertible knots. Our proof combines a recent result of Hanselman with the Khovanov multicurve invariants$${\widetilde{{{\,\textrm{Kh}\,}}}}$$ Kh ~ and$${\widetilde{{{\,\textrm{BN}\,}}}}$$ BN ~ . We apply the same techniques to reprove a result of Wang about the Cosmetic Crossing Conjecture and split links. Along the way, we show that$${\widetilde{{{\,\textrm{Kh}\,}}}}$$ Kh ~ and$${\widetilde{{{\,\textrm{BN}\,}}}}$$ BN ~ detect if a Conway tangle is split. 
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