Rotational virtual knots and quantum link invariants

DOI10.1142/S0218216515410084zbMath1378.57020arXiv1509.00578OpenAlexW2964091814MaRDI QIDQ3461773

Louis H. Kauffman

Publication date: 18 January 2016

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

Full work available at URL: https://arxiv.org/abs/1509.00578

zbMATH Keywords

Yang-Baxter equationgenusquantum invariantparityvirtual linkstangle categoryrotational genusrotational virtual linksvirtual tangle category

Mathematics Subject Classification ID

Related Items (7)

A polynomial time knot polynomial ⋮ Over then under tangles ⋮ Intersection formulas for parities on virtual knots ⋮ A quantum invariant of links in \(T^2\times I\) with volume conjecture behavior ⋮ New quantum invariants of planar knotoids ⋮ Quantum invariants of knotoids ⋮ A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots

Cites Work

• Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots
• VIRTUAL KNOT DIAGRAMS AND THE WITTEN–RESHETIKHIN–TURAEV INVARIANT
• ORIENTED QUANTUM ALGEBRAS, CATEGORIES AND INVARIANTS OF KNOTS AND LINKS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• A CATEGORICAL MODEL FOR THE VIRTUAL BRAID GROUP
• INVARIANTS OF 3-MANIFOLDS DERIVED FROM FINITE DIMENSIONAL HOPF ALGEBRAS
• Parity in knot theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Rotational virtual knots and quantum link invariants