Classification of genus 1 virtual knots having at most five classical crossings

DOI10.1142/S021821651450031XzbMath1302.57008MaRDI QIDQ2922962

A. A. Akimova, Sergey V. Matveev

Publication date: 15 October 2014

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

zbMATH Keywords

tabulationvirtual knotgenus one

Mathematics Subject Classification ID

Related Items (17)

Classification of low complexity knotoids ⋮ Classification of Prime Virtual Links of Genus 1 with At Most 4 Classical Crossings ⋮ Classification of links of small complexity in the thickened torus ⋮ Knotoids and knots in the thickened torus ⋮ Classification of prime links in the thickened torus having crossing number 5 ⋮ On the geometry of rod packings in the 3‐torus ⋮ On equivalence of same knots in the thickened Klein bottle ⋮ Classification of links in the thickened Klein bottle ⋮ The polynomials of prime virtual knots of genus 1 and complexity at most 5 ⋮ A lower bound for the crossing number of links in thickened surfaces ⋮ Tabulation of Prime Projections of Links in the Thickened Surface of Genus 2 with no more than 4 Crossings ⋮ Generalizations of the Kauffman polynomial for knotsin the thickened surface of genus 2 ⋮ Concordances to prime hyperbolic virtual knots ⋮ Enumeration of rooted 4-regular maps without planar loops ⋮ Homological invariants of links in a thickened surface ⋮ Unnamed Item ⋮ Knotting and weak knotting in confined, open random walks using virtual knots

Cites Work

• Prime decompositions of knots in \(T^2 \times I\)
• Reduction of knots in thickened surfaces and virtual knots
• State models and the Jones polynomial
• What is a virtual link?
• Virtual knot theory
• Virtual knots and links
• ENUMERATING THE k-TANGLE PROJECTIONS
• KNOTS IN THE SOLID TORUS UP TO 6 CROSSINGS

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