(1, 2) AND WEAK (1, 3) HOMOTOPIES ON KNOT PROJECTIONS

DOI10.1142/S0218216513500855zbMath1287.57008arXiv2004.06312OpenAlexW2042700992MaRDI QIDQ5404525

Yusuke Takimura, Noboru Ito

Publication date: 24 March 2014

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

Full work available at URL: https://arxiv.org/abs/2004.06312

zbMATH Keywords

knot projection(1, 2) homotopyflat Reidemeister moveweak (1, 3) homotopy

Mathematics Subject Classification ID

Embeddings and immersions in PL-topology (57Q35)

Related Items (14)

Regular projections of the link L6n1 ⋮ New deformations on spherical curves and Östlund conjecture ⋮ Triple chords and strong (1, 2) homotopy ⋮ A distance on the equivalence classes of spherical curves generated by deformations of type RI ⋮ PLUMBING AND COMPUTATION OF CROSSCAP NUMBER ⋮ Addendum: "(1, 2) and weak (1, 3) homotopies on knot projections" ⋮ When can a link be obtained from another using crossing exchanges and smoothings? ⋮ Strong and weak \((1,3)\) homotopies on knot projections ⋮ Untangling planar curves ⋮ Positive knots and weak (1, 3) homotopy ⋮ Arrow diagrams on spherical curves and computations ⋮ Thirty-two equivalence relations on knot projections ⋮ On gauss codes of virtual doodles ⋮ Space of chord diagrams on spherical curves

Cites Work

• Complementary regions of knot and link diagrams
• A partial order of links
• A partial order of knots
• Invariants of curves and fronts via Gauss diagrams
• LUNE-FREE KNOT GRAPHS
• ALMOST POSITIVE LINKS HAVE NEGATIVE SIGNATURE

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