5 citations · 8 across the 7 of their papers we have counts for
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A Fast, Strong, Topologically Meaningful and Fun Knot Invariant
Dror Bar-Natan, Roland van der Veen
In this paper we discuss a pair of polynomial knot invariants which is: * Theoretically and practically fast: can be computed in polynomial time. We can compute it in…
Quantum fundamental group of knot and its representation
Jun Murakami, Roland van der Veen
The theory of bottom tangles is used to construct a quantum fundamental group. On the other hand, the skein module is considered as a quantum analogue of the representation…
New Quantum Invariants of Planar Knotoids
Wout Moltmaker, Roland van der Veen
In this paper we discuss the applications of knotoids to modelling knots in open curves and produce new knotoid invariants. We show how invariants of knotoids generally give rise t…
A Perturbed-Alexander Invariant
Dror Bar-Natan, Roland van der Veen
In this note we give concise formulas, which lead to a simple and fast computer program that computes a powerful knot invariant. This invariant is not new, yet our formulas a…
Perturbed Gaussian generating functions for universal knot invariants
Dror Bar-Natan, Roland van der Veen
We introduce a new approach to universal quantum knot invariants that emphasizes generating functions instead of generators and relations. All the relevant generating functions are…
Quantized representations of knot groups
Jun Murakami, Roland van der Veen
We propose a new non-commutative generalization of the representation variety and the character variety of a knot group. Our strategy is to reformulate the construction of the alge…