| 书目名称 | Painlevé III: A Case Study in the Geometry of Meromorphic Connections |
| 编辑 | Martin A. Guest,Claus Hertling |
| 视频video | http://file.papertrans.cn/741/740486/740486.mp4 |
| 概述 | The first monograph on Painlevé equations to treat both classical local aspects and modern global aspects simultaneously.Introduces a new method in the study of Painlevé equations, combining local ana |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painlevé equations, and it offers new results on a particular Painlevé III equation of type PIII (D6), called PIII (0, 0, 4, −4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections. This equation is equivalent to the radial sine (or sinh) Gordon equation and, as such, it appears widely in geometry and physics. It is used here as a very concrete and classical illustration of the modern theory of vector bundles with meromorphic connections.. . Complex multi-valued solutions on C* are the natural context for most of the monograph, but in the last four chapters real solutions on R>0 (with or without singularities) are addressed. These provide examples of variations of TERP structures, which are related to . tt∗. geometry and harmonic bundles. . . As an application, a new global picture o0 is given.. |
| 出版日期 | Book 2017 |
| 关键词 | Painlevé III; movable poles; isomonodromic connections; Riemann-Hilbert map; monodromy data; TERP-structu |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-66526-9 |
| isbn_softcover | 978-3-319-66525-2 |
| isbn_ebook | 978-3-319-66526-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing AG 2017 |
|Archiver|手机版|小黑屋|
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