Author： Boalch P.
Publisher： Academic Press
ISSN： 0001-8708
Source： Advances in Mathematics, Vol.163, Iss.2, 2001-11, pp. : 137-205
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We study moduli spaces of meromorphic connections (with arbitrary order poles) over Riemann surfaces together with the corresponding spaces of monodromy data (involving Stokes matrices). Natural symplectic structures are found and described both explicitly and from an infinite dimensional viewpoint (generalising the Atiyah–Bott approach). This enables us to give an intrinsic symplectic description of the isomonodromic deformation equations of Jimbo, Miwa and Ueno, thereby putting the existing results for the six Painlevé equations and Schlesinger's equations into a uniform framework.
Related content
On Isomonodromic Deformations of Fuchsian Systems
Journal of Dynamical and Control Systems, Vol. 03, Iss. 4, 1997-10 ,pp. :
Access to resources
Recommend
Holomorphic Symplectic Manifolds and Lagrangian Fibrations
Acta Applicandae Mathematicae, Vol. 75, Iss. 1-3, 2003-01 ,pp. :
Symplectic four-manifolds and projective surfaces
Topology and its Applications, Vol. 88, Iss. 1, 1998-10 ,pp. :