Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections

Abstract

In this paper, we treat moduli spaces of parabolic connections. We take étale coverings of the moduli spaces, and we construct a Hamiltonian structure of an algebraic vector field determined by the isomonodromic deformation for each étale morphism.

Revised version, 23 pages

References in corpus (1)

• On the Geometry of Isomonodromic Deformations

Cited by in corpus (2)

• On the moduli of logarithmic connections on elliptic curves
• The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations