Equivariant unknotting numbers of strongly invertible knots

Published 13 Dec 2024 in math.GT | (2412.09797v2)

Abstract: We study symmetric crossing change operations for strongly invertible knots. Our main theorem is that the most natural notion of equivariant unknotting number is not additive under connected sum, in contrast with the longstanding conjecture that unknotting number is additive.

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