ON VIRTUAL CROSSING NUMBER ESTIMATES FOR VIRTUAL LINKS

DOI10.1142/S021821650900718XzbMath1183.57002arXiv0811.0712OpenAlexW2963548486MaRDI QIDQ3397598

D. M. Afanasiev, Vassily O. Manturov

Publication date: 22 September 2009

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

Full work available at URL: https://arxiv.org/abs/0811.0712

zbMATH Keywords

knotAlexander polynomialvirtual knotminimal diagramvirtual crossing

Mathematics Subject Classification ID

Related Items (7)

Parity in knot theory and graph-links ⋮ On the crossing numbers of a virtual knot ⋮ An index polynomial invariant for flat virtual knots ⋮ Lower Bounds on Virtual Crossing Number and Minimal Surface Genus ⋮ ON A GENERALIZATION OF THE ALEXANDER POLYNOMIAL FOR LONG VIRTUAL KNOTS ⋮ INVARIANTS OF FLAT VIRTUAL LINKS INDUCED FROM VASSILIEV INVARIANTS OF DEGREE ONE FOR VIRTUAL LINKS ⋮ Polynomial invariants of flat virtual links using invariants of virtual links

Cites Work

• On roots of the \(\xi\)-polynomial
• The Khovanov complex and minimal knot diagrams
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• What is a virtual link?
• Finite-type invariants of classical and virtual knots
• Biquandles and virtual links
• Virtual knots and links
• Virtual knot theory–-unsolved problems
• MAGNETIC GRAPHS AND AN INVARIANT FOR VIRTUAL LINKS
• QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS
• An Orientation-Sensitive Vassiliev Invariant for Virtual Knots
• ALEXANDER GROUPS AND VIRTUAL LINKS

This page was built for publication: ON VIRTUAL CROSSING NUMBER ESTIMATES FOR VIRTUAL LINKS