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- Title
F-polynomials of tabulated virtual knots.
- Authors
Ivanov, Maxim; Vesnin, Andrei
- 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.
- Subjects
POLYNOMIALS; KNOT theory; GENERALIZATION; CHARTS, diagrams, etc.; CONSTRUCTION
- Publication
Journal of Knot Theory & Its Ramifications, 2020, Vol 29, Issue 08, pN.PAG
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216520500546