A geometric characterization of Vassiliev invariants

DOI10.1090/S0002-9947-03-03117-9zbMath1033.57005OpenAlexW2137511144MaRDI QIDQ4425446

Michael Eisermann

Publication date: 10 September 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03117-9

zbMATH Keywords

classificationVassiliev invariantpolynomial invariantchord diagramtwist sequencegeometric sequence of knotstorsion in the braid group over the spheretorsion in the theory of Vassiliev invariantstwine knots

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items (6)

Twist moves and the affine index polynomials of virtual knots ⋮ An intrinsic approach to invariants of framed links in 3-manifolds ⋮ TWIST LATTICES AND THE JONES–KAUFFMAN POLYNOMIAL FOR LONG VIRTUAL KNOTS ⋮ PARITY AND EXOTIC COMBINATORIAL FORMULAE FOR FINITE-TYPE INVARIANTS OF VIRTUAL KNOTS ⋮ APPLICATION OF BRAIDING SEQUENCES, I: ON THE CHARACTERIZATION OF VASSILIEV AND POLYNOMIAL LINK INVARIANTS ⋮ The Jones polynomial of ribbon links

Cites Work

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• The algebraic braid groups are torsion-free: An algebraic proof
• On the Vassiliev knot invariants
• Polynomial invariants are polynomial
• Knot polynomials and Vassiliev's invariants
• Theory of braids
• Les invariants rationnels de type fini ne distinguent pas les nœuds dans SS2×SS1
• Seifert Fibre Spaces and Braid Groups
• MANY CLASSICAL KNOT INVARIANTS ARE NOT VASSILIEV INVARIANTS
• Braid Groups and Left Distributive Operations
• THE FUNCTORIALITY OF VASSILIEV-TYPE INVARIANTS OF LINKS, BRAIDS, AND KNOTTED GRAPHS
• TWIST SEQUENCES AND VASSILIEV INVARIANTS
• The number of knot group representations is not a Vassiliev invariant
• Configuration Spaces.
• The Braid Groups.
• On a String Problem of Dirac

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