Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections

Arata Komyo

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arXiv · 1611.03601

Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections

Arata Komyo

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Abstract

In this paper, we treat moduli spaces of parabolic connections. We take étale coverings of the moduli spaces, and we construct a Hamiltonian structure of an algebraic vector field determined by the isomonodromic deformation for each étale morphism.

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Arata Komyo. 2021-03-29. Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections. https://arxiv.org/abs/1611.03601

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