REDUCED RELATIVE TUTTE, KAUFFMAN BRACKET AND JONES POLYNOMIALS OF VIRTUAL LINK FAMILIES-Reference-Cited by-同舟云学术

REDUCED RELATIVE TUTTE, KAUFFMAN BRACKET AND JONES POLYNOMIALS OF VIRTUAL LINK FAMILIES

Published:2013-04 Issue:04 Volume:22 Page:1340003
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

KAUFFMAN LOUIS H.¹,JABLAN SLAVIK²,RADOVIĆ LJILJANA³,SAZDANOVIĆ RADMILA⁴

Affiliation:

1. Department of Mathematics, Statistics and Computer Science (m/c 249), University of Illinois at Chicago, 851 South Morgan Street, Chicago, Illinois 60607-7045, USA

2. The Mathematical Institute, Knez Mihailova 36, P. O. Box 367, 11001 Belgrade, Serbia

3. Faculty of Mechanical Engineering, A. Medvedeva 14, 18 000 Niš, Serbia

4. Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA

Abstract

This paper contains general formulae for the reduced relative Tutte, Kauffman bracket and Jones polynomials of families of virtual knots and links given in Conway notation and discussion of a counterexample to the Z-move conjecture of Fenn, Kauffman and Manturov.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216513400038

Reference17 articles.

1. On links with cyclotomic Jones polynomials

2. Generalized duality for graphs on surfaces and the signed Bollobás–Riordan polynomial

3. An enumeration of knots and links, and some of their algebraic properties

4. Linknot

5. Zeros of the Jones polynomials for families of pretzel links

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