Classification of links of small complexity in the thickened torus

DOI10.1134/S008154381809002XzbMath1418.57002OpenAlexW2922283642MaRDI QIDQ2424174

A. A. Akimova, Vladimir Tarkaev, Sergey V. Matveev

Publication date: 24 June 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381809002x

zbMATH Keywords

linklink tablethickened torus

Mathematics Subject Classification ID

Related Items (4)

Classification of Prime Virtual Links of Genus 1 with At Most 4 Classical Crossings ⋮ Classification of prime links in the thickened torus having crossing number 5 ⋮ Tabulation of Prime Projections of Links in the Thickened Surface of Genus 2 with no more than 4 Crossings ⋮ Unnamed Item

Cites Work

• Prime decompositions of knots in \(T^2 \times I\)
• Decomposition of homologically trivial knots in \(F\times I\)
• Reduction of knots in thickened surfaces and virtual knots
• Crossing number of alternating knots in \(S\times I\).
• State models and the Jones polynomial
• What is a virtual link?
• Tabulation of prime knots in lens spaces
• Minimal surface representations of virtual knots and links
• Classification of genus 1 virtual knots having at most five classical crossings
• Cobordism of knots on surfaces
• Conjugation and the Prime Decomposition of Knots in Closed, Oriented 3-Manifolds
• The pachner graph and the simplification of 3-sphere triangulations
• Coloured Jones invariants of links and the Volume Conjecture
• The Start Control and Final Observation Problem for a Quasi-Linear Sobolev Type Equation
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