Moduli Space of Flat Connections as a Poisson Manifold

DOI10.1142/S0217979297001544zbMath1229.58012MaRDI QIDQ3106713

Vladimir Fock, A. A. Roslij

Publication date: 29 December 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Moduli problems for differential geometric structures (58D27)

Related Items (8)

Poisson algebras of block-upper-triangular bilinear forms and braid group action ⋮ On a Poisson homogeneous space of bilinear forms with a Poisson-Lie action ⋮ Teichmüller spaces as degenerated symplectic leaves in Dubrovin-Ugaglia Poisson manifolds ⋮ Symplectic structures on Teichmüller spaces \(\mathfrak{T}_{g,s,n}\) and cluster algebras ⋮ Hitchin's connection, Toeplitz operators, and symmetry invariant deformation quantization ⋮ The $*$-Markov equation for Laurent polynomials ⋮ Darboux coordinates, Yang-Yang functional, and gauge theory ⋮ Fenchel–Nielsen coordinates and Goldman brackets

This page was built for publication: Moduli Space of Flat Connections as a Poisson Manifold