Moduli spaces of meromorphic connections and quiver varieties
Differential Geometry
2014-01-24 v2 Classical Analysis and ODEs
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
Cite
@article{arxiv.1305.4092,
title = {Moduli spaces of meromorphic connections and quiver varieties},
author = {Kazuki Hiroe and Daisuke Yamakawa},
journal= {arXiv preprint arXiv:1305.4092},
year = {2014}
}
Comments
31 pages, added references, revised argument in Section 3.3