Graphical constructions for the sl(3), C2 and G2 invariants for virtual knots, virtual braids and free knots

DOI10.1142/S0218216515500315zbMath1321.57010arXiv1406.7331MaRDI QIDQ5500472

Louis H. Kauffman, Vassily O. Manturov

Publication date: 6 August 2015

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

Full work available at URL: https://arxiv.org/abs/1406.7331

zbMATH Keywords

graphknotinvariantlinkquantum invariantvirtual knotKuperberg \(C_2\) bracketKuperberg \(G_2\) bracketKuperberg sl(3) bracket

Mathematics Subject Classification ID

Related Items (4)

HOMFLY-PT homology for general link diagrams and braidlike isotopy ⋮ The generalized Yamada polynomials of virtual spatial graphs ⋮ Monodromy, groups, and picture-valued invariants of link ⋮ Planar diagrams for local invariants of graphs in surfaces

Cites Work

• Unnamed Item
• An almost classification of free knots
• Shortening curves on surfaces
• What is a virtual link?
• Finite-type invariants of classical and virtual knots
• Virtual strings.
• Virtual knot theory
• A graphical construction of the sl(3) invariant for virtual knots
• PARITY AND PROJECTION FROM VIRTUAL KNOTS TO CLASSICAL KNOTS
• GRAPH-VALUED INVARIANTS OF VIRTUAL AND CLASSICAL LINKS AND MINIMALITY PROBLEM
• A Categorical Structure for the Virtual Braid Group
• Virtual biquandles
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• AN EXTENDED BRACKET POLYNOMIAL FOR VIRTUAL KNOTS AND LINKS
• THE QUANTUM G₂ LINK INVARIANT
• Detecting Non-Triviality of Virtual Links
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• Virtual Knots
• A self-linking invariant of virtual knots
• Parity in knot theory
• Topology of words

This page was built for publication: Graphical constructions for the sl(3), C₂ and G₂ invariants for virtual knots, virtual braids and free knots