INDEX POLYNOMIAL INVARIANT OF VIRTUAL LINKS-Reference-Cited by-同舟云学术

INDEX POLYNOMIAL INVARIANT OF VIRTUAL LINKS

Published:2010-05 Issue:05 Volume:19 Page:709-725
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

IM YOUNG HO¹,LEE KYEONGHUI²,LEE SANG YOUL¹

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216510008042

Reference10 articles.

1. Finite-type invariants of classical and virtual knots

2. ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS

3. A virtualized skein relation for Jones polynomials

4. GROUPS OF TWO-BRAID VIRTUAL KNOTS

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