Share
Painlevé Iii: A Case Study in the Geometry of Meromorphic Connections (Lecture Notes in Mathematics) (in English)
Guest,Hertling (Author)
·
Springer
· Paperback
Painlevé Iii: A Case Study in the Geometry of Meromorphic Connections (Lecture Notes in Mathematics) (in English) - Guest,Hertling
$ 42.62
$ 44.99
You save: $ 2.37
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Monday, June 24 and
Tuesday, June 25.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "Painlevé Iii: A Case Study in the Geometry of Meromorphic Connections (Lecture Notes in Mathematics) (in English)"
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 of all zeros and poles of all real solutions of PIII (0, 0, 4, ?4) on R>0 is given.
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
✓ Producto agregado correctamente al carro, Ir a Pagar.
