Cosmetic operations and Khovanov multicurves

DOI10.1007/S00208-023-02697-5arXiv2109.14049OpenAlexW3202859477MaRDI QIDQ6378854

Author name not available (Why is that?)

Publication date: 28 September 2021

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

w i d e t i l d e o p e r a t o r n a m e K h

and

w i d e t i l d e o p e r a t o r n a m e B N

. 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

w i d e t i l d e o p e r a t o r n a m e K h

and

w i d e t i l d e o p e r a t o r n a m e B N

detect if a Conway tangle is split.

Full work available at URL: https://doi.org/10.1007/s00208-023-02697-5

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