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An unknotting index for virtual knots

2017/09/04 by Kaur, K., Kamada, S., Kawauchi, A. +1
#57M25 (Primary) #57M27 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1709.00817

Abstract

In this paper we introduce the notion of an unknotting index for virtual knots. We give some examples of computation by using writhe invariants, and discuss a relationship between the unknotting index and the virtual knot module. In particular, we show that for any non-negative integer n there exists a virtual knot whose unknotting index is (1,n).

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