TY - JOUR

T1 - F-polynomials of tabulated virtual knots

AU - Ivanov, Maxim

AU - Vesnin, Andrei

PY - 2020/7/1

Y1 - 2020/7/1

N2 - 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.

AB - 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.

KW - affine index polynomial

KW - Virtual knot

UR - http://www.scopus.com/inward/record.url?scp=85091072612&partnerID=8YFLogxK

U2 - 10.1142/S0218216520500546

DO - 10.1142/S0218216520500546

M3 - Article

AN - SCOPUS:85091072612

VL - 29

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 8

M1 - 2050054

ER -