# A polynomial time knot polynomial

@article{BarNatan2018APT, title={A polynomial time knot polynomial}, author={Dror Bar-Natan and Roland van der Veen}, journal={Proceedings of the American Mathematical Society}, year={2018} }

We present the strongest known knot invariant that can be computed effectively (in polynomial time).

## 8 Citations

### A Perturbed-Alexander Invariant

- Mathematics
- 2022

. In this note we give concise formulas, which lead to a simple and fast computer program that computes a powerful knot invariant. This invariant ρ 1 is not new, yet our formulas are by far the…

### A New Perspective on a Polynomial Time Knot Polynomial

- Mathematics
- 2022

In this work we consider the Z1(K) polynomial time knot polynomial defined and described by Dror Bar-Natan and Roland van der Veen in their 2018 paper ”A polynomial time knot polynomial”. We first…

### Big Data Approaches to Knot Theory: Understanding the Structure of the Jones Polynomial

- MathematicsJournal of Knot Theory and Its Ramifications
- 2022

A method for using filtrations to analyze infinite data sets where representative sampling is impossible or impractical, an essential requirement for working with knots and the data from knot invariants is introduced.

### Framed Knotoids and Their Quantum Invariants

- MathematicsCommunications in Mathematical Physics
- 2022

We modify the definition of spherical knotoids to include a framing, in analogy to framed knots, and define a further modification that includes a secondary ‘coframing’ to obtain ‘biframed’ knotoids.…

### Knot probabilities in equilateral random polygons

- Mathematics
- 2021

We consider the probability of knotting in equilateral random polygons in Euclidean three-dimensional space, which model, for instance, random polymers. Results from an extensive Monte Carlo dataset…

### Polynomial Invariant of Molecular Circuit Topology

- BiologySymmetry
- 2021

This work presents polynomial invariants that are both efficient and sufficiently powerful to deal with any combination of soft and hard contacts and presents an implementation and table of chains with up to three contacts.

### An Unexpected Cyclic Symmetry of $I\mathfrak{u}_n$.

- Mathematics
- 2020

We find and discuss an unexpected (to us) order $n$ cyclic group of automorphisms of the Lie algebra $I\mathfrak{u}_n := \mathfrak{u}_n\ltimes\mathfrak{u}_n^\ast$, where $\mathfrak{u}_n$ is the Lie…

### AN UNEXPECTED CYCLIC SYMMETRY OF Iun

- Mathematics
- 2020

We find and discuss an unexpected (to us) order n cyclic group of automorphisms of the Lie algebra Iun :“ un ̇ un, where un is the Lie algebra of upper triangular nˆn matrices. Our results also…

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