Hamiltonian representation of isomonodromic deformations of general rational connections on gl2(C)
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DOI: 10.1088/1361-6544/ae19dd
Abstract: In this paper, we study and build the Hamiltonian system attached to any gl2(C) meromorphic connection with an arbitrary number of non-ramified poles of arbitrary degrees. In particular, we propose the Lax pairs and Hamiltonian… read more here.
Keywords: representation isomonodromic; isomonodromic deformations; deformations general; rational connections ... See more keywords
Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections
Sign Up to like & getrecommendations! Published in 2021 at "Journal of the Mathematical Society of Japan"
DOI: 10.2969/jmsj/83858385
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… read more here.
Keywords: parabolic connections; moduli spaces; isomonodromic deformations; structures isomonodromic ... See more keywords