Weyl algebras and knots

DOI10.1016/j.geomphys.2006.10.002zbMath1123.57006arXivmath/0610481OpenAlexW2137916366MaRDI QIDQ876755

Roger Fenn, Vladimir G. Turaev

Publication date: 27 April 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610481

zbMATH Keywords

Weyl algebrabraid groupvirtual linkAlexander invariant

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (14)

Derivatives of Jones polynomials detect delta moves in virtual knots ⋮ COVERINGS, COMPOSITES AND CABLES OF VIRTUAL STRINGS ⋮ Doodles on surfaces ⋮ \(q\)-polynomial invariant of rooted trees ⋮ Crossing changes, delta moves and sharp moves on welded knots ⋮ An unknotting index for virtual knots ⋮ Cobordism of knots on surfaces ⋮ Unnamed Item ⋮ TACKLING THE TREFOILS ⋮ INTRODUCTION TO VIRTUAL KNOT THEORY ⋮ VIRTUAL HOMOTOPY ⋮ BIQUANDLES OF SMALL SIZE AND SOME INVARIANTS OF VIRTUAL AND WELDED KNOTS ⋮ BIQUANDLES AND THEIR APPLICATION TO VIRTUAL KNOTS AND LINKS ⋮ AN EXTENDED BRACKET POLYNOMIAL FOR VIRTUAL KNOTS AND LINKS

Cites Work

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• Quaternionic determinants
• Biquandles and virtual links
• Virtual strings.
• Virtual knot theory
• Symmetric quantum Weyl algebras
• ON AXIOMS OF BIQUANDLES
• QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS
• QUATERNION ALGEBRAS AND INVARIANTS OF VIRTUAL KNOTS AND LINKS I: THE ELLIPTIC CASE
• A POLYNOMIAL INVARIANT FOR FLAT VIRTUAL LINKS
• RACKS AND LINKS IN CODIMENSION TWO
• An Orientation-Sensitive Vassiliev Invariant for Virtual Knots
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• The equation [B,(A-1)(A,B)=0 and virtual knots and links]
• SOME NUMERICAL INVARIANTS OF FLAT VIRTUAL LINKS ARE ALWAYS REALIZED BY REDUCED DIAGRAMS

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