Symplectic Geometry and Topology Symplectic geometry has its origins as a geometric language for classical mechanics But it has exploded into an independent field interconnected with many other areas of mathematics and physics This b

  • Title: Symplectic Geometry and Topology
  • Author: Yakov Eliashberg Lisa Traynor
  • ISBN: 9780821840955
  • Page: 192
  • Format: Paperback
  • Symplectic geometry has its origins as a geometric language for classical mechanics But it has exploded into an independent field interconnected with many other areas of mathematics and physics This book intends to give an intensive introduction to these areas of research.

    Lectures on Symplectic Geometry a manifold equipped with a symplectic form Symplectic geometry is the geometry of symplectic manifolds Symplectic manifolds are necessarily even dimensional and orientable, since nondegeneracy says that the top exterior power of a symplectic form is a volume form The closedness condition is a natural di erential equation, which forces all symplectic manifolds to being locally indistinguishable. Symplectic Geometry and Fourier Analysis Second Edition Mar , The first chapters cover certain geometric preliminaries, advancing to discussions of symplectic geometry and the application of its concepts to the action of a Lie group on a symplectic manifold Subsequent chapters address Fourier analysis, Symplectic Geometry Topology Mathematics Symplectic Geometry Topology Symplectic topology is at the crossroads of several mathematical disciplines such as low dimensional topology, algebraic geometry, representation theory, Hamiltonian dynamics, integrable systems, mirror symmetry, and string theory It comes with a surprising mixture of both rigid and flexible behavior.

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    1. Yakov Eliashberg Lisa Traynor

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