465 citations · 978 across the 37 of their papers we have counts for
22 papers · 1 filter
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…
Computing Finite Type Invariants Efficiently
Dror Bar-Natan, Itai Bar-Natan, Iva Halacheva +1
We describe an efficient algorithm to compute finite type invariants of type by first creating, for a given knot with crossings, a look-up table for all subdiagrams of…
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…
Yarn Ball Knots and Faster Computations
Dror Bar-Natan, Itai Bar-Natan, Iva Halacheva +1
We make use of the 3D nature of knots and links to find savings in computational complexity when computing knot invariants such as the linking number and, in general, most finite t…
Over then Under Tangles
Dror Bar-Natan, Zsuzsanna Dancso, Roland van der Veen
Over-then-Under (OU) tangles are oriented tangles whose strands travel through all of their over crossings before any under crossings. In this paper we discuss the idea of gliding:…