Lectures on Symplectic Manifolds

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A01=Alan Weinstein
Author_Alan Weinstein
Category=PD
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Product details

  • ISBN 9780821816790
  • Weight: 140g
  • Publication Date: 30 Dec 1977
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Paperback
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The first six sections of these notes contain a description of some of the basic constructions and results on symplectic manifolds and lagrangian submanifolds. Section 7, on intersections of largrangian submanifolds, is still mostly internal to symplectic geometry, but it contains some applications to machanics and dynamical systems. Sections 8, 9, and 10 are devoted to various aspects of the quantization problem. In Section 10 there is a feedback of ideas from quantization theory into symplectic geometry itslef.

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