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INDEX POLYNOMIAL INVARIANT OF VIRTUAL LINKS

YOUNG HO IM

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

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KYEONGHUI LEE

Department of Mathematics, Graduate School of Natural Sciences, Pusan National University, Pusan, 609-735, Korea

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, and

SANG YOUL LEE

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

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https://doi.org/10.1142/S0218216510008042Cited by:34 (Source: Crossref)

Abstract

We introduce a polynomial invariant of virtual links that is non-trivial for many virtuals, but is trivial on classical links. Also this polynomial is sometimes useful to find the virtual crossing number of virtual knots. We give various properties of this polynomial and examples.

Keywords:

AMSC: Primary 57M25, Secondary 57M27

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