G. Giorgadze

On the Hamiltonians Induced from a Fuchsian System

abstract:
Fuchsian systems on a complex manifold with nontrivial topology are investigated and Hamiltonians, whose dynamic equations reduce to a Fuchs type differential equation, are given. These Hamiltonians and equations correspond to realistic physical models encountered in the literature.

Mathematics Subject Classification: 30E25, 32G15, 81R10.

Key words and phrases: Fuchsian system, monodromy, Schlesinger equation, Hamiltonian, hypergeometric equation, isomonodromic deformation, Painlevé transcendents.