The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations

Symmetry Integrability and Geometry-Methods and Applications

article

Arata Komyo¹ 

[1] Department of Mathematics, Graduate School of Science, Osaka University

关键词: parabolic connection;    quadratic differential;    isomonodromic deformation;    twisted cotangent bundle;   

DOI  :  10.3842/SIGMA.2018.111

来源: National Academy of Science of Ukraine

【 摘 要 】

In this paper, we study the moduli spaces of parabolic connections with a quadratic differential. We endow these moduli spaces with symplectic structures by using the fundamental 2-forms on the moduli spaces of parabolic connections (which are phase spaces of isomonodromic deformation systems). Moreover, we see that the moduli spaces of parabolic connections with a quadratic differential are equipped with structures of twisted cotangent bundles.

【 授权许可】

Unknown