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Moduli spaces of meromorphic connections and quiver varieties |
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| Authors: | Kazuki Hiroe Daisuke Yamakawa |
| Institution: | 1. Department of Mathematics, Josai University, 1-1 Keyakidai, Sakado City, Saitama 350-0295, Japan;2. Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8551, Japan |
| 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. |
| Keywords: | primary 53D30 secondary 16G20 53D20 |
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