THE Ck-GORDIAN COMPLEX OF KNOTS

DOI10.1142/S0218216506004300zbMath1088.57010MaRDI QIDQ3379423

Yoshiyuki Ohyama

Publication date: 6 April 2006

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

zbMATH Keywords

Vassiliev invariantGordian distance\(C_k\)-move\(C_k\)-distance

Mathematics Subject Classification ID

Related Items (13)

Knot graphs and Gromov hyperbolicity ⋮ The H(n)-Gordian complex of knots ⋮ The IH-complex of spatial trivalent graphs ⋮ ON A BALL IN A METRIC SPACE OF KNOTS BY DELTA MOVES ⋮ A note on the Gordian complexes of some local moves on knots ⋮ THE GORDIAN COMPLEX OF VIRTUAL KNOTS ⋮ Gromov hyperbolicity and a variation of the Gordian complex ⋮ The Gordian complex of theta-curves ⋮ Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves ⋮ A two dimensional lattice of knots by C_2m-moves ⋮ LOCAL MOVES AND GORDIAN COMPLEXES ⋮ THE GORDIAN COMPLEX OF VIRTUAL KNOTS BY FORBIDDEN MOVES ⋮ Quotients of the Gordian and H(2)-Gordian graphs

Cites Work

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• Delta-unknotting operation and the second coefficient of the Conway polynomial
• A polynomial invariant of oriented links
• On a certain move generating link-homology
• On the Vassiliev knot invariants
• Claspers and finite type invariants of links
• Knot polynomials and Vassiliev's invariants
• ON HABIRO'S C_n–MOVES AND VASSILIEV INVARIANTS OF ORDER n
• KNOTS WITH GIVEN FINITE TYPE INVARIANTS AND C_k-DISTANCES
• DELTA DISTANCE AND VASSILIEV INVARIANTS OF KNOTS
• THE GORDIAN COMPLEX OF KNOTS
• DELTA AND CLASP-PASS DISTANCES AND VASSILIEV INVARIANTS OF KNOTS
• New points of view in knot theory

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