Linear differential equations on the Riemann sphere and representations of quivers

DOI10.1215/00127094-3769640zbMath1368.16018arXiv1307.7438OpenAlexW1540723728MaRDI QIDQ523687

Kazuki Hiroe

Publication date: 21 April 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7438

zbMATH Keywords

middle convolutionrepresentations of quiversmoduli spaces of meromorphic connectionsadditive Deligne-Simpson problemlinear ODE with irregular singular points

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (7)

Versal unfolding of irregular singularities of a linear differential equation on the Riemann sphere ⋮ The Deligne-Simpson problem for connections on \(\mathbb{G}_m\) with a maximally ramified singularity ⋮ Arithmetic and metric aspects of open de Rham spaces ⋮ Moduli spaces of meromorphic connections and quiver varieties ⋮ On Additive Deligne–Simpson Problems ⋮ Applications of Quiver Varieties to Moduli Spaces of Connections on $$\mathbb {P}^1$$ ⋮ Diagrams for nonabelian Hodge spaces on the affine line

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