Quiver varieties with multiplicities, Weyl groups of non-symmetric Kac-Moody algebras, and Painlevé equations

DOI10.3842/SIGMA.2010.087zbMath1218.53088arXiv1003.3633OpenAlexW2166344622MaRDI QIDQ542711

Daisuke Yamakawa

Publication date: 17 June 2011

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3633

zbMATH Keywords

Painlevé equationmiddle convolutionquiver varietymeromorphic connectionreflection functornon-symmetric Kac-Moody algebraquiver variety with multiplicities

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Representations of quivers and partially ordered sets (16G20) Symplectic structures of moduli spaces (53D30)

Related Items (4)

Quivers with relations for symmetrizable Cartan matrices. I: Foundations ⋮ Arithmetic and metric aspects of open de Rham spaces ⋮ Moduli spaces of meromorphic connections and quiver varieties ⋮ Diagrams for nonabelian Hodge spaces on the affine line

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