Moduli spaces of meromorphic connections and quiver varieties

Published 17 May 2013 in math.DG and math.CA | (1305.4092v2)

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.

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