Moduli spaces of meromorphic connections and quiver varieties

Abstract

We describe the moduli spaces of meromorphic connections on trivial holomorphic vector bundles over the Riemann sphere with at most one (unramified) irregular singularity and arbitrary number of simple poles as Nakajima's quiver varieties. This result enables us to solve partially the additive irregular Deligne-Simpson problem.

31 pages, added references, revised argument in Section 3.3

References in corpus (3)

• Geometry of Multiplicative Preprojective Algebra
• Irregular connections and Kac-Moody root systems
• Linear differential equations on the Riemann sphere and representations of quivers