%0 Journal Article
%J Comm. Math. Phys. 271 (2007) 289-373
%D 2007
%T Canonical structure and symmetries of the Schlesinger equations
%A Boris Dubrovin
%A Marta Mazzocco
%X 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×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.
%B Comm. Math. Phys. 271 (2007) 289-373
%G en_US
%U http://hdl.handle.net/1963/1997
%1 2199
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-08-30T08:59:18Z\\nNo. of bitstreams: 1\\nmathDG0311261v4.pdf: 748258 bytes, checksum: c550bb118062fa82741da16a2735b68f (MD5)
%R 10.1007/s00220-006-0165-3