On knots with no 3-state

DOI10.1016/J.TOPOL.2015.05.043zbMATH Open1347.57011OpenAlexW578366125MaRDI QIDQ898512

S. Satoh, T. Nakamura, Y. Nakanishi

Publication date: 18 December 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.043

zbMATH Keywords

virtual knot\(n\)-writheGauss diagram3-statelower groupMiyazawa polynomialstate numberupper group

Mathematics Subject Classification ID

Cites Work

• Virtual knot theory
• THE POLE DIAGRAM AND THE MIYAZAWA POLYNOMIAL
• A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL KNOTS AND LINKS
• The writhes of a virtual knot
• The state numbers of a virtual knot

Related Items (4)

Finiteness of the set of virtual knots with a given state number ⋮ The state polynomial of knot \(K_{(3,3)}\) ⋮ Title not available (Why is that?) ⋮ No 2-knot has triple point number two or three

Recommendations

• A knot without triple bitangency 👍 👎
• On 3-braids and L-space knots 👍 👎
• Nonlooseness of nonloose knots 👍 👎
• The state polynomial of knot \(K_{(3,3)}\) 👍 👎
• A theory of concordance for non-spherical 3-knots 👍 👎
• Nœuds qui ne sont pas déterminés par leur complément dans les 3-variétés à bord 👍 👎
• KNOTS AND LINKS WITHOUT PARALLEL TANGENTS 👍 👎
• State invariants of 2-bridge knots 👍 👎
• The state numbers of a virtual knot 👍 👎

This page was built for publication: On knots with no 3-state

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q898512)