25 citations · 65 across the 6 of their papers we have counts for
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Duality for the general isomonodromy problem
N M J Woodhouse
By an extension of Harnad's and Dubrovin's `duality' constructions, the general isomonodromy problem studied by Jimbo, Miwa, and Ueno is equivalent to one in which the linear syste…
Two twistor descriptions of the isomonodromy problem
N M J Woodhouse
The connections between Hitchin and Mason's twistor descriptions of the isomonodromy problem are explored.
The geometry of dual isomonodromic deformations
G. Sanguinetti, N. M. J Woodhouse
The JMMS equations are studied using the geometry of the spectral curve of a pair of dual systems. It is shown that the equations can be represented as time-independent Hamiltonian…
The symplectic and twistor geometry of the general isomonodromic deformation problem
N. M. J. Woodhouse
Hitchin's twistor treatment of Schlesinger's equations is extended to the general isomonodromic deformation problem. It is shown that a generic linear system of ordinary differenti…