Cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial

Ito, Tetsuya

doi:10.1090/proc/15654

Cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial
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Proc. Amer. Math. Soc. 150 (2022), 871-876 Request permission

Abstract:

We prove the cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial. We also prove the conjecture for genus one knots with trivial Alexander polynomial, under some additional assumptions.

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