Link invariants and combinatorial quantization of Hamiltonian Chern Simons theory

DOI10.1007/BF02101008zbMath0857.58046arXivq-alg/9507001MaRDI QIDQ1925002

E. Buffenoir, Philippe Roche

Publication date: 10 March 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9507001

zbMATH Keywords

observablesYang-Mills theorylink invariantscombinatorial quantization of Hamiltonian Chern-Simons theorynon-commutative Yang-Mills theory

Mathematics Subject Classification ID

Related Items (11)

Unrestricted quantum moduli algebras. I: The case of punctured spheres ⋮ Chern-Simons theory, 2d Yang-Mills, and Lie algebra wanderers ⋮ Poisson-geometric analogues of Kitaev models ⋮ Mapping class group representations derived from stated skein algebras ⋮ Projective representations of mapping class groups in combinatorial quantization ⋮ Finite presentations for stated skein algebras and lattice gauge field theory ⋮ Hopf algebra gauge theory on a ribbon graph ⋮ Integrable lambda models and Chern-Simons theories ⋮ Mapping class group actions from Hopf monoids and ribbon graphs ⋮ Kitaev lattice models as a Hopf algebra gauge theory ⋮ Modular group representations in combinatorial quantization with non-semisimple Hopf algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the algebraic structure of link-diagrams on a 2-dimensional surface
• Quantum field theory and the Jones polynomial
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• On the Vassiliev knot invariants
• Ribbon graphs and their invariants derived from quantum groups
• Anyonization of lattice Chern-Simons theory
• Combinatorial quantization of the Hamiltonian Chern-Simons theory. I
• Combinatorial quantization of the Hamiltonian Chern-Simons theory. II
• Two dimensional lattice gauge theory based on a quantum group
• The Poisson structure on the moduli space of flat connections and chord diagrams
• Invariants of 3-manifolds via link polynomials and quantum groups
• Representation theory of Chern-Simons observables
• Skein quantization of Poisson algebras of loops on surfaces

This page was built for publication: Link invariants and combinatorial quantization of Hamiltonian Chern Simons theory