4.6 Article

Moduli spaces of meromorphic connections and quiver varieties

Journal

ADVANCES IN MATHEMATICS
Volume 266, Issue -, Pages 120-151

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2014.05.024

Keywords

Moduli spaces of meromorphic connections; Quiver varieties; Additive irregular Deligne-Simpson problem

Categories

Funding

  1. JSPS [2680072, 24740104]
  2. Grants-in-Aid for Scientific Research [26800072, 24740104] Funding Source: KAKEN

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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. (C) 2014 Elsevier Inc. All rights reserved.

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