Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities

Abstract

In this paper, we consider the generalized isomonodromic deformations of rank two irregular connections on the Riemann sphere. We introduce Darboux coordinates on the parameter space of a family of rank two irregular connections by apparent singularities. By the Darboux coordinates, we describe the generalized isomonodromic deformations as Hamiltonian systems.

56 pages

References in corpus (4)

• Moduli of unramified irregular singular parabolic connections on a smooth projective curve
• On the Geometry of Isomonodromic Deformations
• Duality for the general isomonodromy problem
• An Interpretation of Some Hitchin Hamiltonians In Terms of Isomonodromic Deformation

Cited by in corpus (1)

• Normal forms for rank two linear irregular differential equations and moduli spaces