RECOGNIZING TEXTILE STRUCTURES BY FINITE TYPE KNOT INVARIANTS

DOI10.1142/S0218216509006902zbMath1172.57300OpenAlexW2018989976MaRDI QIDQ3628094

S. A. Grishanov, Vadim R. Meshkov, Victor A. Vassiliev

Publication date: 19 May 2009

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

Full work available at URL: https://doi.org/10.1142/s0218216509006902

zbMATH Keywords

finite type invariantperiodic knottextile structureknots in non-orientable manifolds

Mathematics Subject Classification ID

Related Items (9)

An invariant of knots in thickened surfaces ⋮ Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in \(M^2\times R^1\) ⋮ An invariant of links in a thickened torus ⋮ Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices ⋮ INVARIANTS OF LINKS IN 3-MANIFOLDS AND SPLITTING PROBLEM OF TEXTILE STRUCTURES ⋮ GAUSS DIAGRAM INVARIANTS OF LINKS IN M² × R¹ ⋮ THE PARITY HIERARCHY AND NEW INVARIANTS OF KNOTS IN THICKENED SURFACES ⋮ An invariant of links in the thickened torus ⋮ Linking numbers in non-orientable 3-manifolds

Cites Work

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• Finite type link invariants of 3-manifolds
• On the Vassiliev knot invariants
• Knot polynomials and Vassiliev's invariants
• A small state sum for knots
• KHOVANOV HOMOLOGY FOR VIRTUAL KNOTS WITH ARBITRARY COEFFICIENTS
• Quantization of the algebra of chord diagrams
• VASSILIEV INVARIANTS FOR VIRTUAL LINKS, CURVES ON SURFACES AND THE JONES–KAUFFMAN POLYNOMIAL
• KAUFFMAN-TYPE POLYNOMIAL INVARIANTS FOR DOUBLY PERIODIC STRUCTURES

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