THE HALF-TWISTED SPLICE OPERATION ON REDUCED KNOT PROJECTIONS

DOI10.1142/S021821651250112XzbMath1314.57015arXiv1208.0989MaRDI QIDQ4904846

Noboru Ito, Ayaka Shimizu

Publication date: 11 February 2013

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

Full work available at URL: https://arxiv.org/abs/1208.0989

zbMATH Keywords

knot projectionlocal movehalf-twisted splicereduced knot projection

Mathematics Subject Classification ID

Related Items (10)

Triple chords and strong (1, 2) homotopy ⋮ Crosscap number and knot projections ⋮ Goussarov–Polyak–Viro conjecture for degree three case ⋮ Strong and weak \((1,3)\) homotopies on knot projections ⋮ The reductivity of spherical curves ⋮ On the orientations of monotone knot diagrams ⋮ Crosscap number of knots and volume bounds ⋮ Knot projections with reductivity two ⋮ The reductivity of spherical curves. II: 4-gons ⋮ A lower bound of crosscap numbers of alternating knots

Cites Work

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• A partial order of links
• A graph-theoretic approach to a partial order of knots and links
• A partial order of knots
• Knot Enumeration Through Flypes and Twisted Splices

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