On a Poisson structure on the space of Stokes matrices

Details On a Poisson structure on the space of Stokes matrices On a Poisson structure on the space of Stokes matrices

1999-02-05

arxiv.org/abs/math/9902045v1

Mathematics

Algebraic Geometry

16 pages,Tex,to be published in IMRN

Scientific paper

In this paper we study the map associating to a linear differential operator
with rational coefficients its monodromy data. The operator has one regular and
one irregular singularity of Poincare' rank 1. We compute the Poisson structure
of the corresponding Monodromy Preserving Deformation Equations on the space of
the monodromy data.

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