Painlevé III: A Case Study in the Geometry of Meromorphic Connections
The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painlevé equations, and it offers new results on a particular Painlevé III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections. This equation is equivalent to the radial sine (or sinh) Gordon equation and, as such, it appears widely in geometry and physics. It is used here as a very concrete and classical illustration of the modern theory of vector bundles with meromorphic connections.>0 (with or without singular…
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Produktdetails
Weitere Autoren: Hertling, Claus
- ISBN: 978-3-319-66526-9
- EAN: 9783319665269
- Produktnummer: 33319174
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2017
- Seitenangabe: 204 S.
- Plattform: PDF
- Masse: 3'163 KB
- Abbildungen: 12 schwarz-weiße Abbildungen, Bibliographie
- Reihenbandnummer: 2198
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