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The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Arata Komyo},
     title = {The {Moduli} {Spaces} of {Parabolic} {Connections} with a {Quadratic} {Differential} and {Isomonodromic} {Deformations}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a110/}
}
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Arata Komyo. The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a110/

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