### 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 |
---|---|

Volume | 2198 |

ISSN (Print) | 0075-8434 |

### Fingerprint

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

_{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

**The Riemann-Hilbert correspondence for P _{3D6} bundles.** / Guest, Martin; Hertling, Claus.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

_{3D6}bundles. in

*Lecture Notes in Mathematics.*vol. 2198, Lecture Notes in Mathematics, vol. 2198, Springer Verlag, pp. 21-32. https://doi.org/10.1007/978-3-319-66526-9_2

_{3D6}bundles. In Lecture Notes in Mathematics. Vol. 2198. Springer Verlag. 2017. p. 21-32. (Lecture Notes in Mathematics). https://doi.org/10.1007/978-3-319-66526-9_2

}

TY - CHAP

T1 - The Riemann-Hilbert correspondence for P3D6 bundles

AU - Guest, Martin

AU - Hertling, Claus

PY - 2017

Y1 - 2017

N2 - This chapter will formulate the Riemann-Hilbert correspondence for those holomorphic vector bundles on ℙ1 with meromorphic connections which are central for the Painléve III(D6) equations. Everything in this chapter is classical, though presented in the language of bundles. We shall give references after Theorem 2.3.

AB - This chapter will formulate the Riemann-Hilbert correspondence for those holomorphic vector bundles on ℙ1 with meromorphic connections which are central for the Painléve III(D6) equations. Everything in this chapter is classical, though presented in the language of bundles. We shall give references after Theorem 2.3.

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U2 - 10.1007/978-3-319-66526-9_2

DO - 10.1007/978-3-319-66526-9_2

M3 - Chapter

VL - 2198

T3 - Lecture Notes in Mathematics

SP - 21

EP - 32

BT - Lecture Notes in Mathematics

PB - Springer Verlag

ER -