A polynomial time knot polynomial

DOI10.1090/proc/14166zbMath1441.57003arXiv1708.04853OpenAlexW2747502945MaRDI QIDQ4555833

Roland van der Veen, Dror Bar-Natan

Publication date: 23 November 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04853

zbMATH Keywords

Weyl algebraAlexander polynomialknot invariantknot polynomial

Mathematics Subject Classification ID

Knot polynomials (57K14) Knot theory (57K10)

Related Items (5)

Big data approaches to knot theory: Understanding the structure of the Jones polynomial ⋮ Framed knotoids and their quantum invariants ⋮ An unexpected cyclic symmetry of \(I \mathfrak{u}_n\) ⋮ The (2,1)-cable Γ-polynomials of knots up to ten crossings ⋮ Knot probabilities in equilateral random polygons

Uses Software

• KnotInfo

Cites Work

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• Minimal generating sets of Reidemeister moves
• Bottom tangles and universal invariants
• The universal \(R\)-matrix, Burau representation, and the Melvin-Morton expansion of the colored Jones polynomial
• Knots.
• Wick ordering for \(q\)-Heisenberg algebra.
• On the 2-loop polynomial of knots
• FAST KHOVANOV HOMOLOGY COMPUTATIONS
• Rotational virtual knots and quantum link invariants
• Quantum invariants of knots and 3-manifolds

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