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arXiv · 1710.03977

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

Arata Komyo
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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.

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Arata Komyo. 2017-10-11. The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations. https://doi.org/10.3842/sigma.2018.111

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