A Move on Diagrams that Generates S-Equivalence of Knots

DOI10.1142/S0218216503002639zbMath1051.57010arXivmath/9911005MaRDI QIDQ4474514

Theodore B. Stanford, Swatee Naik

Publication date: 12 July 2004

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

Full work available at URL: https://arxiv.org/abs/math/9911005

zbMATH Keywords

string linksSeifert matrixdouble-delta movestrivial Alexander polynomial

Mathematics Subject Classification ID

Related Items

A DIAGRAMMATIC ALEXANDER INVARIANT OF TANGLES, Noncommutative knot theory, Surgery presentations of coloured knots and of their covering links, Bottom tangles and universal invariants, Twisted cohomology pairings of knots II; to some Blanchfield pairings, When do links admit homeomorphic C-complexes?, A C_n-MOVE FOR A KNOT AND THE COEFFICIENTS OF THE CONWAY POLYNOMIAL, STRONG S-EQUIVALENCE OF ORDERED LINKS, The (\(n\))-solvable filtration of link concordance and Milnor's invariants, FINITE-TYPE KNOT INVARIANTS BASED ON THE BAND-PASS AND DOUBLED-DELTA MOVES, S-EQUIVALENCE OF KNOTS, On homotopy groups of quandle spaces and the quandle homotopy invariant of links, CLASSIFICATION OF FLAT VIRTUAL PURE TANGLES, KNOTS WITH GIVEN FINITE TYPE INVARIANTS AND CONWAY POLYNOMIAL, Oriented local moves and divisibility of the Jones–Kauffman polynomial, INVARIANTS OF KNOTS DERIVED FROM EQUIVARIANT LINKING MATRICES OF THEIR SURGERY PRESENTATIONS, Rational Blanchfield forms, S-equivalence, and null LP-surgeries

Cites Work

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• AN ELEMENTARY PROOF THAT ALL SPANNING SURFACES OF A LINK ARE TUBE-EQUIVALENT
• Braids, Links, and Mapping Class Groups. (AM-82)