Writhe polynomial for virtual links

Abstract

A weak chord index $In{d}^{\prime }$ is constructed for self crossing points of virtual links. Then a new writhe polynomial $W$ of virtual links is defined by using $In{d}^{\prime }$. $W$ is a generalization of writhe polynomial defined in [6]. Based on $W$, three invariants of virtual links are constructed. These invariants can be used to detect the non-trivialities of Kishino knot and flat Kishino knot.

16 pages, 25 figures

Cited by in corpus (1)

• Writhe polynomials and shell moves for virtual knots and links