3 papers
math.GT2019
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…
math.GT2019
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…
math.GT2018
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…