Quiver Varieties with Multiplicities, Weyl Groups of Non-Symmetric Kac-Moody Algebras, and Painlevé Equations

Quiver Varieties with Multiplicities, Weyl Groups of Non-Symmetric Kac-Moody Algebras, and Painlevé Equations

To a finite quiver equipped with a positive integer on each of its vertices, we associate a holomorphic symplectic manifold having some parameters. This coincides with Nakajima's quiver variety with no stability parameter/framing if the integers attached on the vertices are all equal to one. Th...

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Bibliographic Details
Main Author: Daisuke Yamakawa
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
quiver variety
quiver variety with multiplicities
non-symmetric Kac-Moody algebra
Painlevé equation
meromorphic connection
reflection functor
middle convolution
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.087

Internet

http://dx.doi.org/10.3842/SIGMA.2010.087

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