Moduli spaces of meromorphic connections, quiver varieties, and integrable deformations

Abstract

This is a note in which we first review symmetries of moduli spaces of stable meromorphic connections on trivial vector bundles over the Riemann sphere, and next discuss symmetries of their integrable deformations as an application. In the study of the symmetries, a realization of the moduli spaces as quiver varieties is given and plays an essential role.

References in corpus (5)

• Irregular connections and Kac-Moody root systems
• Degeneration scheme of 4-dimensional Painlevé-type equations
• Classification of Fuchsian systems and their connection problem
• Coupled Painlevé VI systems in dimension four with affine Weyl group symmetry of type $D_6^{(1)}$, II
• Linear differential equations on the Riemann sphere and representations of quivers