Knot polynomials of open and closed curves

DOI10.1098/rspa.2020.0124zbMath1472.57011arXiv2001.01303OpenAlexW3047236100WikidataQ99404143 ScholiaQ99404143MaRDI QIDQ5161038

Louis H. Kauffman, Eleni Panagiotou

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01303

zbMATH Keywords

topologylinkscomputational mathematicsJones polynomiallinking numberKauffman bracket polynomialknotoidsopen knots

Mathematics Subject Classification ID

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

Related Items (5)

The second Vassiliev measure of uniform random walks and polygons in confined space ⋮ A formula for the linking number in terms of isometry invariants of straight line segments ⋮ New quantum invariants of planar knotoids ⋮ The local topological free energy of proteins ⋮ A Proof of the Invariant-Based Formula for the Linking Number and Its Asymptotic Behaviour

Cites Work

• Unnamed Item
• Unnamed Item
• Knotoids
• State models and the Jones polynomial
• Hecke algebra representations of braid groups and link polynomials
• A survey on knotoids, braidoids and their applications
• The linking number in systems with periodic boundary conditions
• New invariants of knotoids
• A topological study of protein folding kinetics
• Topology bounds energy of knots and links
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• Conway Algebras and Skein Equivalence of Links
• Exploring the correlation between the folding rates of proteins and the entanglement of their native states
• An Invariant of Regular Isotopy
• Topological mechanics of knots and tangles
• Statistical mechanics with topological constraints: I
• The embedding space of hexagonal knots

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