New hierarchies of knot polynomials from topological Chern-Simons gauge theory

DOI10.1007/BF00402256zbMath0688.57010OpenAlexW1990807289MaRDI QIDQ1263843

Kengo Yamagishi, Mo-Lin Ge, Yong-Shi Wu

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf00402256

zbMATH Keywords

skein relationsWeyl characterAkutsu-Wadati polynomialsexpectation values of Wilson loopsfundamental representation of the simple Lie algebras SO(n) and Sp(n)hierarchies of invariant polynomials for knots in \(S^ 3\)topological Chern-Simons theory

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items

Chern-Simons theory, coloured-oriented braids and link invariants, Colored Kauffman homology and super-A-polynomials, A relation between the Kauffman and the HOMFLY polynomials for torus knots, Numerical knot invariants of finite type from Chern-Simons perturbation theory

Cites Work

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• A new polynomial invariant of knots and links
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