Tau-functions and monodromy symplectomorphisms

15 Feb 2020 Bertola Marco Korotkin Dmitry

We derive a new Hamiltonian formulation of Schlesinger equations in terms of the dynamical $r$-matrix structure. The corresponding symplectic form is shown to be the pullback, under the monodromy map, of a natural symplectic form on the extended monodromy manifold... (read more)

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  • SYMPLECTIC GEOMETRY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
  • EXACTLY SOLVABLE AND INTEGRABLE SYSTEMS