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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Symplectic Geometry of Integrable Hamiltonian Systems

Symplectic Geometry of Integrable Hamiltonian Systems

Cannas Da Silva, Ana
Lerman, Eugene
Audin, Michèle

Paperback

Series: Advanced Courses in Mathematics - Crm Barcelona

General MathematicsGeometryPhysics

ISBN10: 3764321679
ISBN13: 9783764321673
Publisher: Birkhauser
Published: Apr 24 2003
Pages: 226
Weight: 0.93
Height: 0.51 Width: 7.00 Depth: 10.00
Language: English

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising come-back in Part A: to describe Mirror Symmetry, one looks for a special kind of Lagrangian submanifolds and integrable systems, the special Lagrangians. Furthermore, integrable Hamiltonian systems on punctured cotangent bundles are a starting point for the study of contact toric manifolds (Part C of this book).

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