Abstract
The tau function for the Schlesinger equation of isomonodromic deformations is represented as the result of successively applied elementary gauge transformations; this, in particular, suggests a simple proof for the Miwa theorem about the tau function.
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Bolibrukh, A.A. On the Tau Function for the Schlesinger Equation of Isomonodromic Deformations. Mathematical Notes 74, 177–184 (2003). https://doi.org/10.1023/A:1025048023068
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DOI: https://doi.org/10.1023/A:1025048023068