Painlevé III: A Case Study in the Geometry of Meromorphic Connections (Record no. 427186)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03855nam a22005535i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783319665269 |
| -- | 978-3-319-66526-9 |
| 024 7# - | |
| -- | 10.1007/978-3-319-66526-9 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA372 |
| 072 #7 - | |
| -- | PBKJ |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT007000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBKJ |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.352 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Guest, Martin A. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Painlevé III: A Case Study in the Geometry of Meromorphic Connections |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Martin A. Guest, Claus Hertling. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2017. |
| 300 ## - | |
| -- | XII, 204 p. 12 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Lecture Notes in Mathematics, |
| -- | 0075-8434 ; |
| -- | 2198 |
| 505 0# - | |
| -- | 1. Introduction -- 2.- The Riemann-Hilbert correspondence for P3D6 bundles -- 3. (Ir)Reducibility -- 4. Isomonodromic families -- 5. Useful formulae: three 2 × 2 matrices -- 6. P3D6-TEP bundles -- 7. P3D6-TEJPA bundles and moduli spaces of their monodromy tuples -- 8. Normal forms of P3D6-TEJPA bundles and their moduli spaces -- 9. Generalities on the Painleve´ equations -- 10. Solutions of the Painleve´ equation PIII (0, 0, 4, −4) -- 13. Comparison with the setting of Its, Novokshenov, and Niles -- 12. Asymptotics of all solutions near 0 -- ...Bibliography. Index. |
| 520 ## - | |
| -- | 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 of0 is given. |
| 650 #0 - | |
| -- | Differential Equations. |
| 650 #0 - | |
| -- | Geometry, algebraic. |
| 650 #0 - | |
| -- | Functions, special. |
| 650 #0 - | |
| -- | Functions of complex variables. |
| 650 14 - | |
| -- | Ordinary Differential Equations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12147 |
| 650 24 - | |
| -- | Algebraic Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11019 |
| 650 24 - | |
| -- | Special Functions. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M1221X |
| 650 24 - | |
| -- | Functions of a Complex Variable. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12074 |
| 700 1# - | |
| -- | Hertling, Claus. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319665252 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319665276 |
| 830 #0 - | |
| -- | Lecture Notes in Mathematics, |
| -- | 0075-8434 ; |
| -- | 2198 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-319-66526-9 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 912 ## - | |
| -- | ZDB-2-LNM |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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