Chern-Simons theory, coloured-oriented braids and link invariants

DOI10.1007/BF02102019zbMath0832.57006arXivhep-th/9305032OpenAlexW2061565468MaRDI QIDQ1328201

V. Pereyra

Publication date: 4 July 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9305032

zbMATH Keywords

link invariantsduality matrices\(\text{SU} (2)\) Chern-Simons theorygroupoid of coloured-oriented braidsmulticoloured links

Mathematics Subject Classification ID

Related Items (16)

Colored Kauffman homology and super-A-polynomials ⋮ Three-partite vertex model and knot invariants ⋮ TOWARDS A QUANTUM ALGORITHM FOR THE PERMANENT ⋮ Entanglement entropy and the colored Jones polynomial ⋮ Composite link polynomials from super Chern-Simons theory ⋮ Topology, formal languages and quantum information ⋮ AN EFFICIENT QUANTUM ALGORITHM FOR COLORED JONES POLYNOMIALS ⋮ Cabling procedure for the colored HOMFLY polynomials ⋮ Multi-boundary entanglement in Chern-Simons theory and link invariants ⋮ CHARACTER EXPANSION FOR HOMFLY POLYNOMIALS III: ALL 3-STRAND BRAIDS IN THE FIRST SYMMETRIC REPRESENTATION ⋮ KNOTS IN THE NON-ABELIAN CHERN–SIMONS THEORY ⋮ Knots, links, and long-range magic ⋮ On knots, complements, and \(6j\)-symbols ⋮ IDEAS OF GEOMETRIZATION, GEOMETRIC INVARIANTS OF LOW-DIMENSIONAL MANIFOLDS, AND TOPOLOGICAL QUANTUM FIELD THEORIES ⋮ Quantum Computation of Universal Link Invariants ⋮ Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid

Cites Work

• A polynomial invariant of oriented links
• State models and the Jones polynomial
• The Yang-Baxter equation and invariants of links
• Quantum field theory and the Jones polynomial
• New hierarchies of knot polynomials from topological Chern-Simons gauge theory
• Three-dimensional Chern-Simons theory as a theory of knots and links
• A new polynomial invariant of knots and links
• From Groups to Groupoids: a Brief Survey
• Braids, Links, and Mapping Class Groups. (AM-82)
• Chern-Simons and conformal field theories
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