The Riemann-Hilbert correspondence for P3D6 bundles

Martin Guest, Claus Hertling

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Abstract

    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.

    Original languageEnglish
    Title of host publicationLecture Notes in Mathematics
    PublisherSpringer Verlag
    Pages21-32
    Number of pages12
    Volume2198
    DOIs
    Publication statusPublished - 2017

    Publication series

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

    Fingerprint

    Meromorphic
    Vector Bundle
    Hilbert
    Bundle
    Correspondence
    Theorem
    Language

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    Guest, M., & Hertling, C. (2017). The Riemann-Hilbert correspondence for P3D6 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 P3D6 bundles. / Guest, Martin; Hertling, Claus.

    Lecture Notes in Mathematics. Vol. 2198 Springer Verlag, 2017. p. 21-32 (Lecture Notes in Mathematics; Vol. 2198).

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Guest, M & Hertling, C 2017, The Riemann-Hilbert correspondence for P3D6 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
    Guest M, Hertling C. The Riemann-Hilbert correspondence for P3D6 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
    Guest, Martin ; Hertling, Claus. / The Riemann-Hilbert correspondence for P3D6 bundles. Lecture Notes in Mathematics. Vol. 2198 Springer Verlag, 2017. pp. 21-32 (Lecture Notes in Mathematics).
    @inbook{cd92af4222c74d229c6c15f5cb07b04a,
    title = "The Riemann-Hilbert correspondence for P3D6 bundles",
    abstract = "This chapter will formulate the Riemann-Hilbert correspondence for those holomorphic vector bundles on ℙ1 with meromorphic connections which are central for the Painl{\'e}ve III(D6) equations. Everything in this chapter is classical, though presented in the language of bundles. We shall give references after Theorem 2.3.",
    author = "Martin Guest and Claus Hertling",
    year = "2017",
    doi = "10.1007/978-3-319-66526-9_2",
    language = "English",
    volume = "2198",
    series = "Lecture Notes in Mathematics",
    publisher = "Springer Verlag",
    pages = "21--32",
    booktitle = "Lecture Notes in Mathematics",
    address = "Germany",

    }

    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.

    UR - http://www.scopus.com/inward/record.url?scp=85032027281&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85032027281&partnerID=8YFLogxK

    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 -