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The $2\times 2$ Schlesinger system for the case of four regular singularities is equivalent to the Painlev\'e VI equation.
L. Schlesinger, Über eine Klasse von Differentialsystemen beliebiger Ordnung mit festen kritischen Punkten
1912
Earlier work this paper cites.
K. Takasaki, Gaudin model, KZB equation, and isomonodromic problem on torus
1963
Earlier work this paper cites.
M. Jimbo, T. Miwa, Y. Môri, and M. Sato, Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
1980
Earlier work this paper cites.
M. Jimbo, T. Miwa, and K. Ueno, Monodromy preserving deformation of linear ordinary differential equations with rational coefficients
1981
Earlier work this paper cites.
K. Okamoto, Isomonodromic deformation and the Painlevé equations and the Garnier system
1986
Earlier work this paper cites.
K. Okamoto, Studies on the Painlevé equations I, sixth Painlevé equation 𝐏 𝐕𝐈 P_{{\rm VI}}
1987
Cited alongside, same era.
M.L. Kontsevich, Virasoro algebra and Teichmuller spaces
1987
Cited alongside, same era.
S. Kawai, Isomonodromic deformation of Fuchsian-type projective connections on elliptic curves
1997
Cited alongside, same era.
A.M. Levin and M.A. Olshanetsky, Hierarchies of isomonodromic deformations and Hitchin systems
1999
Cited alongside, same era.
J. Harnad, Virasoro generators and bilinear equations for isomonodromic tau functions
2002
Later among the works it cites.
M. Mazzocco, Irregular isomonodromic deformations for Garnier systems and Okamoto’s canonical transformations
2004
Later among the works it cites.
B. Dubrovin and M. Mazzocco, Canonical structure and symmetries of the Schlesinger equations
2007
Later among the works it cites.
D. Korotkin and H. Samtleben, On the quantization of isomonodromic deformations on the torus,
2013
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