3 papers
math.QA2026
Goldman-Turaev formality from the Kontsevich integral
Dror Bar-Natan, Zsuzsanna Dancso, Tamara Hogan +2
We present a new solution to the formality problem for the framed Goldman--Turaev Lie bialgebra, constructing Goldman-Turaev homomorphic expansions (formality isomorphisms) from th…
math.GT2026
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 i…
math.GT2025
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…