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arxiv: 1305.4092 · v2 · pith:PR2DNDIPnew · submitted 2013-05-17 · 🧮 math.DG · math.CA

Moduli spaces of meromorphic connections and quiver varieties

classification 🧮 math.DG math.CA
keywords connectionsirregularmeromorphicmoduliquiverspacesvarietiesadditive
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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.

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