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Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections

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In this paper, we treat moduli spaces of parabolic connections. We take \'etale coverings of the moduli spaces, and we construct a Hamiltonian structure of an algebraic vector field determined… Click to show full abstract

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

Keywords: parabolic connections; moduli spaces; isomonodromic deformations; structures isomonodromic; spaces parabolic; hamiltonian structures

Journal Title: Journal of the Mathematical Society of Japan
Year Published: 2021

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