Goussarov–Polyak–Viro conjecture for degree three case

DOI10.1142/S0218216522500195zbMath1505.57017arXiv1905.01418OpenAlexW4288359799WikidataQ113777265 ScholiaQ113777265MaRDI QIDQ5089877

Yuka Kotorii, Noboru Ito, Masashi Takamura

Publication date: 15 July 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01418

zbMATH Keywords

knotfinite type invariantvirtual knotVassiliev knot invariantGauss diagram formula

Mathematics Subject Classification ID

Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Related Items (1)

Gauss diagram formulae for Vassiliev invariants from Kauffman polynomial

Cites Work

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• Invariants of random knots and links
• Minimal generating sets of Reidemeister moves
• Lectures on topology of words
• Finite-type invariants of classical and virtual knots
• Virtual knot theory
• Knot polynomials and Vassiliev's invariants
• Based chord diagrams of spherical curves
• Knot Projections
• Introduction to Vassiliev Knot Invariants
• A distance on the equivalence classes of spherical curves generated by deformations of type RI
• A diagrammatic approach to link invariants of finite degree
• THE HALF-TWISTED SPLICE OPERATION ON REDUCED KNOT PROJECTIONS
• Some Dimensions of Spaces of Finite Type Invariants of Virtual Knots
• Arrow diagrams on spherical curves and computations
• Elementary Combinatorics of the HOMFLYPT Polynomial
• Space of chord diagrams on spherical curves

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