|
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations
Arata Komyo Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
Аннотация:
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.
Ключевые слова:
parabolic connection; quadratic differential; isomonodromic deformation; twisted cotangent bundle.
Поступила: 23 января 2018 г.; в окончательном варианте 3 октября 2018 г.; опубликована 13 октября 2018 г.
Образец цитирования:
Arata Komyo, “The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations”, SIGMA, 14 (2018), 111, 22 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1410 https://www.mathnet.ru/rus/sigma/v14/p111
|
|