### Abstract

This chapter will formulate the Riemann-Hilbert correspondence for those holomorphic vector bundles on ℙ^{1} with meromorphic connections which are central for the Painléve III(D_{6}) equations. Everything in this chapter is classical, though presented in the language of bundles. We shall give references after Theorem 2.3.

Original language | English |
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Title of host publication | Lecture Notes in Mathematics |

Publisher | Springer Verlag |

Pages | 21-32 |

Number of pages | 12 |

Volume | 2198 |

DOIs | |

Publication status | Published - 2017 |

### Publication series

Name | Lecture Notes in Mathematics |
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Volume | 2198 |

ISSN (Print) | 0075-8434 |

### ASJC Scopus subject areas

- Algebra and Number Theory

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## Cite this

Guest, M., & Hertling, C. (2017). The Riemann-Hilbert correspondence for P

_{3D6}bundles. In*Lecture Notes in Mathematics*(Vol. 2198, pp. 21-32). (Lecture Notes in Mathematics; Vol. 2198). Springer Verlag. https://doi.org/10.1007/978-3-319-66526-9_2