Moduli spaces of meromorphic connections, quiver varieties, and integrable deformations

2015/06/10 by Kazuki Hiroe, Hiroe, Kazuki · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Integrable system #Mathematics #Meromorphic function #Moduli #Moduli space #Physics #Pure mathematics #Quiver #Representation Theory (math.RT) #math.AG #math.CA #math.RT

paper · pdf · doi:10.48550/arxiv.1506.03230

openalex publication_date 2015/06/10 · openalex created_date 2016/06/24 · arxiv created 2018/03/15 · arxiv updated 2018/03/16 · openalex updated_date 2026/07/28

Abstract

This is a note in which we first review symmetries of moduli spaces of stable meromorphic connections on trivial vector bundles over the Riemann sphere, and next discuss symmetries of their integrable deformations as an application. In the study of the symmetries, a realization of the moduli spaces as quiver varieties is given and plays an essential role.

Citations

• Degeneration scheme of 4-dimensional Painlevé-type equations
• Geometry of the Moment Map for Representations of Quivers

Cited by

• Realization of symmetry of A^(1)*₂-surfaces as transformations of logarithmic connections

Related

• Moduli spaces of meromorphic connections and quiver varieties
• Lecture Notes on Quiver Representations and Moduli Problems in Algebraic\n Geometry
• Local Structure of Moduli Spaces
• Meromorphic connections, determinant line bundles and the Tyurin parametrization
• Moduli of representations of quivers