# The Painlev\'e III equation of type (0,0,4,-4), its associated vector bundles with isomonodromic connections, and the geometry of the movable poles

@inproceedings{Guest2015ThePI, title={The Painlev\'e III equation of type (0,0,4,-4), its associated vector bundles with isomonodromic connections, and the geometry of the movable poles}, author={Martin A. Guest and Claus Hertling}, year={2015} }

- Published 2015

The paper is about a Painlev\'e III equation and its relation to isomonodromic families of vector bundles on P^1 with meromorphic connections. The purpose of the paper is two-fold: it offers a conceptual language for the geometrical objects underlying Painlev\'e equations, and it offers new results on a particular Painlev\'e III equation, which we denote by P_{III}(0,0,4,-4). This is equivalent to the radial sine (or sinh) Gordon equation and, as such, it appears very widely in geometry and… CONTINUE READING

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