## Abstract

In this monograph we are interested in the Painlevé III(D _{6}) equation of type (α, β, γ, δ) = (0, 0, 4, −4) and in the isomonodromic families of P_{3D6} bundles which are associated to it in [FN80, IN86, FIKN06, Ni09]. These P_{3D6} bundles are special and can be equipped with rich additional structure. We shall develop this structure in two steps in Chaps. 6 and 7 The most important part is the TEP structure below. In Chap. 7 it will be further enriched to a TEJPA structure. Isomonodromic families of P_{3D6}-TEJPA bundles will correspond to solutions of the equation P_{III}(0, 0, 4, −4) (Theorem 10.3).

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

Publisher | Springer Verlag |

Pages | 49-57 |

Number of pages | 9 |

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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