4 citations · 7 across the 5 of their papers we have counts for
7 papers
The multi-variable Affine Index Polynomial for tangles
Nicolas Petit
The multi-variable affine index polynomial was defined by the author in previous work. The aim of this short note is to update the definition so it is generalizable to virtual tang…
The Multi-variable Affine Index Polynomial
Nicolas Petit
We define a multi-variable version of the Affine Index Polynomial for virtual links. This invariant reduces to the original Affine Index Polynomial in the case of virtual knots, an…
The Wriggle polynomial for virtual tangles
Nicolas Petit
We generalize the Wriggle polynomial, first introduced by L. Folwaczny and L. Kauffman, to the case of virtual tangles. This generalization naturally arises when considering the se…
Index Polynomials for Virtual Tangles
Nicolas Petit
We generalize the index polynomial invariant to the case of virtual tangles. Three polynomial invariants result from this generalization; we give a brief overview of their definiti…
Finite-type Invariants of Long and Framed Virtual Knots
Nicolas Petit
We generalize three invariants, first discovered by A. Henrich, to the long and/or framed virtual knot case. These invariants are all finite-type invariants of order one, and inclu…
Finite-Type Invariants of order one for long virtual knots
Nicolas Petit
We extend to the long virtual knot case the constructions first presented by A. Henrich and later generalized by the author to the framed virtual knot case. These consist of three…
Finite-Type Invariants of Order One for Framed Virtual Knots
Nicolas Petit
A. Henrich proved the existence of the universal finite-type invariant of order one for virtual knots. We extend the construction and the methods of her paper to framed virtual kno…