F-polynomials of tabulated virtual knots

F-polynomials of tabulated virtual knots Full article

Journal

Journal of Knot Theory and its Ramifications
ISSN: 0218-2165

Output data

Year: 2020, Volume: 29, Number: 8, Article number : 2050054, Pages count : DOI: 10.1142/S0218216520500546

Tags

affine index polynomial; Virtual knot

Authors

Ivanov M. ¹ , Vesnin A. ^1,2,3

Affiliations

1	Novosibirsk State University, Novosibirsk, 630090, Russian Federation
2	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
3	Tomsk State University, Tomsk, 634050, Russian Federation

A sequence of F-polynomials {FKn(t,ℓ)} n=1∞ of virtual knots K was defined by Kaur et al. in 2018. These polynomials have been expressed in terms of index value of crossing and n-writhe of K. By the construction, F-polynomials are generalizations of Kauffman's Affine Index Polynomial, and are invariants of virtual knot K. We present values of F-polynomials of oriented virtual knots having at most four classical crossings in a diagram. © 2020 World Scientific Publishing Company.

Ivanov M. , Vesnin A.
F-polynomials of tabulated virtual knots
Journal of Knot Theory and its Ramifications. 2020. V.29. N8. 2050054 . DOI: 10.1142/S0218216520500546 WOS Scopus OpenAlex

Web of science:	WOS:000568624000003
Scopus:	2-s2.0-85091072612
OpenAlex:	W3028081327

DB	Citing
Scopus	6
OpenAlex	7
Web of science	4