{"product_id":"9783319665252","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eGuest, Martin A.; Hertling, Claus\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003e \u003cbr\u003e 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\u0026gt;0 (with or without singularities) are addressed.  These provide examples of variations of TERP structures, which are related to \u003ci\u003e tt∗\u003c\/i\u003e geometry and harmonic bundles. \u003c\/p\u003e  \u003cbr\u003e As an application, a new global picture o0 is given.\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2017-10-15\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319665252\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-66526-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 204\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45369833619596,"sku":"9783319665252","price":40.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319665252.jpg?v=1775675637","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319665252","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}