Tau-Functions and Monodromy Symplectomorphisms

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 coordin...

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Veröffentlicht in:	Communications in mathematical physics 2021-11, Vol.388 (1), p.245-290
Hauptverfasser:	Bertola, M., Korotkin, D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Manifolds Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical
Online-Zugang:	Volltext
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