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Additivity of Crossing Number via Restricted Reidemeister Moves

Published 22 Nov 2025 in math.GT and math.CO | (2511.18016v1)

Abstract: We define a set of restricted Reidemeister moves and show that if $K$ is obtained from $K_0\,#\,K_1$ using those moves, then the crossing number of $K$ is at least $c(K_0)+c(K_1)$. We also explore topological interpretations of this result.

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Authors (1)

  1. Vadim Weinstein 

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