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• W3003585707 abstract "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. We show that Fock-Goncharov coordinates are log-canonical for the symplectic form on the extended monodromy manifold. Using these coordinates we define the symplectic potential on the monodromy manifold and interpret the isomonodromic tau-function as the generating function of the monodromy map. This, in particular, solves a recent conjecture by A.Its, O.Lisovyy and A.Prokhorov." @default.
• W3003585707 created "2020-02-07" @default.
• W3003585707 creator A5057623571 @default.
• W3003585707 creator A5082861963 @default.
• W3003585707 date "2019-10-08" @default.
• W3003585707 modified "2023-10-16" @default.
• W3003585707 title "Tau-functions and monodromy symplectomorphisms" @default.
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• W3003585707 hasPublicationYear "2019" @default.
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