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The Kowalevski Property
About this Title
Vadim B. Kuznetsov, University of Leeds, Leeds, UK, Editor
Publication: CRM Proceedings and Lecture Notes
Publication Year:
2002; Volume 32
ISBNs: 978-0-8218-2885-4 (print); 978-1-4704-3946-0 (online)
DOI: https://doi.org/10.1090/crmp/032
MathSciNet review: MR1916772
MSC: Primary 37-06; Secondary 00B25, 14-06, 34M35, 34M55, 37J35, 37K20, 70H06
ReadershipTable of Contents
Front/Back Matter
Chapters
- The life of S. V. Kovalevskaya
- Kovalevskaya’s mathematical work
- The KZB connection: Parametrizations, flat sections and $q$-deformation
- Jacobians of singularized spectral curves and completely integrable systems
- The $q$-hypergeometric equation, Askey-Wilson type solitons and rational curves with singularities
- Quantum discrete soliton equations
- Dual algebras of differential operators
- A link between two fundamental contributions of Kowalevski
- Monodromy deformation approach to the scaling limit of the Painlevé first equation
- Kowalevski top revisited
- Some algebro-geometric integrable systems versus classical ones
- Painlevé sixth equation as isomonodromic deformations equation of an irregular system
- Euler characteristics of theta divisors of Jacobians for spectral curves
- Reduction theory, elliptic solitons and integrable systems
- Schwarzian derivatives and uniformization
- Elliptic solitons and Heun’s equation
- Generalized Kowalevski top: New integrable cases on $e$(3) and so(4)
Reprint of the Original Paper