TY - JOUR
T1 - Canonical structure and symmetries of the Schlesinger equations
JF - Comm. Math. Phys. 271 (2007) 289-373
Y1 - 2007
A1 - Boris Dubrovin
A1 - Marta Mazzocco
AB - 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.
UR - http://hdl.handle.net/1963/1997
U1 - 2199
U2 - Mathematics
U3 - Mathematical Physics
ER -