P3D6-TEP Bundles

Martin Guest, Claus Hertling

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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 P3D6 bundles which are associated to it in [FN80, IN86, FIKN06, Ni09]. These P3D6 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 P3D6-TEJPA bundles will correspond to solutions of the equation PIII(0, 0, 4, −4) (Theorem 10.3).

    Original languageEnglish
    Title of host publicationLecture Notes in Mathematics
    PublisherSpringer Verlag
    Pages49-57
    Number of pages9
    Volume2198
    DOIs
    Publication statusPublished - 2017

    Publication series

    NameLecture Notes in Mathematics
    Volume2198
    ISSN (Print)0075-8434

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    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    Guest, M., & Hertling, C. (2017). P3D6-TEP Bundles. In Lecture Notes in Mathematics (Vol. 2198, pp. 49-57). (Lecture Notes in Mathematics; Vol. 2198). Springer Verlag. https://doi.org/10.1007/978-3-319-66526-9_6