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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
Abstract:
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.
Keywords:
parabolic connection; quadratic differential; isomonodromic deformation; twisted cotangent bundle.
Received: January 23, 2018; in final form October 3, 2018; Published online October 13, 2018
Citation:
Arata Komyo, “The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations”, SIGMA, 14 (2018), 111, 22 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1410 https://www.mathnet.ru/eng/sigma/v14/p111
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Abstract page: | 121 | Full-text PDF : | 22 | References: | 21 |
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