Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections
Arata Komyo
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2022 Volume 74 Issue 2 Pages 473-519

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Abstract

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

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