@article {2007,
	title = {Canonical structure and symmetries of the Schlesinger equations},
	journal = {Comm. Math. Phys. 271 (2007) 289-373},
	number = {arXiv.org;math/0311261v4},
	year = {2007},
	abstract = {The Schlesinger equations S (n,m) describe monodromy preserving deformations of order m Fuchsian systems with n+1 poles. They can be considered as a family of commuting time-dependent Hamiltonian systems on the direct product of n copies of m{\texttimes}m matrix algebras equipped with the standard linear Poisson bracket. In this paper we present a new canonical Hamiltonian formulation ofthe general Schlesinger equations S (n,m) for all n, m and we compute the action of the symmetries of the Schlesinger equations in these coordinates.},
	doi = {10.1007/s00220-006-0165-3},
	url = {http://hdl.handle.net/1963/1997},
	author = {Boris Dubrovin and Marta Mazzocco}
}
