[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2020.035

POLYNOMIAL INVARIANTS FOR VIRTUAL KNOTS VIA VIRTUALIZATION MOVES

Im, Young Ho (Department of Mathematics, Pusan National University)
Kim, Sera (Department of Mathematics, Pusan National University)

Publication Information

East Asian mathematical journal / v.36, no.5, 2020 , pp. 537-545 More about this Journal

Abstract

We investigate some polynomial invariants for virtual knots via virtualization moves. We define two types of polynomials W_G(t) and S²_G(t) from the definition of the index polynomial for virtual knots. And we show that they are invariants for virtual knots on the quotient ring Z[t^±1]/I where I is an ideal generated by t² - 1.

Keywords

virtual knot; Gauss diagram; index polynomial; way virtualization; sign virtualization;

Citations & Related Records

Reference

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