Lectures on symplectic manifolds (Record no. 2531)

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003 - CONTROL NUMBER IDENTIFIER
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005 - DATE AND TIME OF LATEST TRANSACTION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821816790
040 ## - CATALOGING SOURCE
Transcribing agency Educational Supplies
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA1
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Weinstein, Alan
245 ## - TITLE STATEMENT
Title Lectures on symplectic manifolds
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. USA:
Name of publisher, distributor, etc. AMS,
Date of publication, distribution, etc. [c1977]
300 ## - Physical Description
Pages: 48 p
490 ## - SERIES STATEMENT
Series statement Regional Conference Series in Mathematics
Volume/sequential designation 29
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Introduction<br/>Lecture 1 - Symplectic manifolds and lagrangian submanifolds, examples<br/>Lecture 2 - Lagrangian splittings, real and complex polarizations, Kähler manifolds<br/>Lecture 3 - Reduction, the calculus of canonical relations, intermediate polarizations<br/>Lecture 4 - Hamiltonian systems and group actions on symplectic manifolds<br/>Lecture 5 - Normal forms<br/>Lecture 6 - Lagrangian submanifolds and families of functions<br/>Lecture 7 - Intersection Theory of Lagrangian submanifolds<br/>Lecture 8 - Quantization on cotangent bundles<br/>Lecture 9 - Quantization and polarizations<br/>Lecture 10 - Quantizing Lagrangian submanifolds and subspaces, construction of the Maslov bundle<br/>
520 ## - SUMMARY, ETC.
Summary, etc. 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.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
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          ICTS Rack No 3 03/23/2019 QA1 01868 Book