Kontsevich integral for Vassiliev invariants from Chern–Simons perturbation theory in the light-cone gauge

DOI10.1063/1.532565zbMath0934.58024arXivhep-th/9710176OpenAlexW2161786233MaRDI QIDQ4701478

Esther Pérez, José M. F. Labastida

Publication date: 10 April 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9710176

zbMATH Keywords

Kontsevich integralVassiliev invariantsChern-Simons perturbation theorylight-cone gauge

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Quantum field theory; related classical field theories (81T99) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (16)

Chern-Simons perturbative series revisited ⋮ QFT and unification of knot theories ⋮ A Kontsevich integral of order 1 ⋮ A new symmetry of the colored Alexander polynomial ⋮ Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix ⋮ Line operators in Chern-Simons-matter theories and bosonization in three dimensions. II: Perturbative analysis and all-loop resummation ⋮ Towards tangle calculus for Khovanov polynomials ⋮ Genus expansion of HOMFLY polynomials ⋮ Cabling procedure for the colored HOMFLY polynomials ⋮ Perturbative analysis of the colored Alexander polynomial and KP soliton \(\tau\)-functions ⋮ Combinatorial formulas for Vassiliev invariants from Chern–Simons gauge theory ⋮ Hidden structures of knot invariants ⋮ A novel symmetry of colored HOMFLY polynomials coming from \(\mathfrak{sl}(N|M)\) superalgebras ⋮ Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure ⋮ KONTSEVICH INTEGRAL FOR KNOTS AND VASSILIEV INVARIANTS ⋮ q-DEFORMED SPIN NETWORKS, KNOT POLYNOMIALS AND ANYONIC TOPOLOGICAL QUANTUM COMPUTATION

Cites Work

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• PARITY ANOMALY IN CHERN-SIMONS THEORY
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
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• New points of view in knot theory
• Topological BF theories in 3 and 4 dimensions
• A relation between the Kauffman and the HOMFLY polynomials for torus knots
• Exactly Solvable Models and New Link Polynomials. I. N-State Vertex Models

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