2023/09/14 by Wada, Kodai
#FOS: Mathematics #Geometric Topology (math.GT) #Primary 57K12 #Secondary 57K10
paper · doi:10.48550/arxiv.2309.07441
A 2k-move is a local deformation adding or removing 2k half-twists. We show that if two virtual knots are related by a finite sequence of 2k-moves, then their n-writhes are congruent modulo k for any nonzero integer n, and their odd writhes are congruent modulo 2k. Moreover, we give a necessary and sufficient condition for two virtual knots to have the same congruence class of odd writhes modulo 2k.