INSTITUTIONAL DIGITAL REPOSITORY

Browsing by Author "Vesnin, A."

Browsing by Author "Vesnin, A."

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  • Recurrent generalization of f-polynomials for virtual knots and links 
    Gill, A.; Ivanov, M.; Prabhakar, M.; Vesnin, A. (2022-06-28)
    F-polynomials for virtual knots were defined by Kaur, Prabhakar and Vesnin in 2018 using flat virtual knot invariants. These polynomials naturally generalize Kauffman’s affine index polynomial and use smoothing in the ...
  • Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants 
    Kaur, K.; Prabhakar, M.; Vesnin, A. (2018-12-22)
    We introduce two sequences of two-variable polynomials {L n K(t, `)} ∞n=1 and {F n K(t, `)} ∞n=1, expressed in terms of index value of a crossing and n-dwrithe value of a virtual knot K, where t and ` are variables. ...
  • An unknotting index for virtual links 
    Kaur, K.; Prabhakar, M.; Vesnin, A. (2019-08-22)
    Given a virtual link diagram D, we define its unknotting index U(D)to be minimum among (m, n)tuples, where mstands for the number of crossings virtualized and nstands for the number of classical crossing changes, to obtain ...
  • An unknotting invariant for welded knots 
    Gill, A.; Kaur, K.; Prabhakar, M.; Vesnin, A. (2022-08-21)
    We study a local twist move on welded knots that is an analog of the virtualization move on virtual knots. Since this move is an unknotting operation we define an invariant, unknotting twist number, for welded knots. We ...