INVARIANTS OF FLAT VIRTUAL LINKS INDUCED FROM VASSILIEV INVARIANTS OF DEGREE ONE FOR VIRTUAL LINKS-Reference-Cited by-同舟云学术

INVARIANTS OF FLAT VIRTUAL LINKS INDUCED FROM VASSILIEV INVARIANTS OF DEGREE ONE FOR VIRTUAL LINKS

Published:2011-12 Issue:12 Volume:20 Page:1649-1667
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,KIM SERA¹,LEE KYEONGHUI¹

Affiliation:

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

Abstract

We introduce invariants of flat virtual links which are induced from Vassiliev invariants of degree one for virtual links. Also we give several properties of these invariants for flat virtual links and examples. In particular, if the value of some invariants of flat virtual knots F are non-zero, then F is non-invertible so that every virtual knot overlying F is non-invertible.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216511009479

Reference25 articles.

1. ON VIRTUAL CROSSING NUMBER ESTIMATES FOR VIRTUAL LINKS

2. STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS

3. VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL

4. Homotopy invariants of Gauss phrases

5. Finite-type invariants of classical and virtual knots

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