Flat connections and polyubles

DOI10.1007/BF01017138zbMath0849.58030MaRDI QIDQ1918714

A. A. Roslij, Vladimir Fock

Publication date: 10 November 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Poisson structurePoisson-Lie groupscoadjoint orbitsRiemann surfacemoduli space of flat connectionslattice gauge fieldscomplex Virasoro algebragraph connections

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Degenerately integrable systems ⋮ Merits and demerits of the orbit method ⋮ Group systems, groupoids, and moduli spaces of parabolic bundles ⋮ Poisson structures and integrable systems connected with graphs ⋮ The Fock-Rosly Poisson structure as defined by a quasi-triangular \(r\)-matrix ⋮ Goldman-Turaev formality from the Knizhnik-Zamolodchikov connection ⋮ Hitchin's connection, Toeplitz operators, and symmetry invariant deformation quantization ⋮ The hyperbolic moduli space of flat connections and the isomorphism of symplectic multiplicity spaces ⋮ Darboux coordinates, Yang-Yang functional, and gauge theory ⋮ Symplectic manifolds and isomonodromic deformations ⋮ Quasi-Hamiltonian geometry of meromorphic connections ⋮ Quantization of a Poisson structure on products of principal affine spaces ⋮ Poisson varieties from Riemann surfaces ⋮ Superintegrable systems on moduli spaces of flat connections ⋮ Skein quantization and lattice gauge field theory ⋮ Modular group representations in combinatorial quantization with non-semisimple Hopf algebras

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• Dressing transformations and Poisson group actions
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