Spinning Tops

Klappentext
Graduate text looking at interaction of algebraic geometry and classical mechanics.


Zusammenfassung
The main body of this text is a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics. The book is based on courses for graduate students given by the author at Strasbourg University but the wealth of original ideas will make it appeal to researchers also.

Inhalt
Introduction; 1. The rigid body with a fixed point; 2. The symmetric spinning top; 3. The Kowalevski top; 4. The free rigid body; 5. Non-compact levels: a Toda lattice; Appendix 1. A Poisson structure on the dual of a Lie algebra; Appendix 2. R-matrices and the 'AKS theorem'; Appendix 3. The eigenvector mapping and linearising flows; Appendix 4. Complex curves, real curves and their Jacobians; Appendix 5. Prym varieties; Bibliography; Index.

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