GENERALIZED INDEX POLYNOMIALS FOR VIRTUAL LINKS

Author:

LEE KYEONGHUI1,IM YOUNG HO1

Affiliation:

1. Department of Mathematics, Pusan National University, Pusan 609-735, Korea

Abstract

We construct some polynomial invariants for virtual links by the recursive method, which are different from the index polynomial invariant defined in [Y. H. Im, K. Lee and S. Y. Lee, Index polynomial invariant of virtual links, J. Knot Theory Ramifications19(5) (2010) 709–725]. We show that these polynomials can distinguish whether virtual knots can be invertible or not although the index polynomial cannot distinguish the invertibility of virtual knots.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

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