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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Komyo, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209846
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations / A. Komyo // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 22 назв. — англ.

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). More...