Fourier-Laplace transform and isomonodromic deformations

2013/06/03 by Daisuke Yamakawa, Yamakawa, Daisuke · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Algebraic and Geometric Analysis #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1306.0444

Abstract

Using the Fourier-Laplace transform, we describe the isomonodromy equations for meromorphic connections on the Riemann sphere with unramified irregular singularities as those for connections with a (possibly ramified) irregular singularity and a regular singularity. This generalizes some results of Harnad and Woodhouse.

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• Realization of symmetry of A^(1)*₂-surfaces as transformations of logarithmic connections

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