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F-polynomials of tabulated virtual knots.

Authors :
Ivanov, Maxim
Vesnin, Andrei
Source :
Journal of Knot Theory & Its Ramifications; Jul2020, Vol. 29 Issue 08, pN.PAG-N.PAG, 17p
Publication Year :
2020

Abstract

A sequence of F -polynomials { F K n (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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02182165
Volume :
29
Issue :
08
Database :
Complementary Index
Journal :
Journal of Knot Theory & Its Ramifications
Publication Type :
Academic Journal
Accession number :
145427932
Full Text :
https://doi.org/10.1142/S0218216520500546