Lectures on symplectic geometry (Record no. 1876)

000 -LEADER
fixed length control field 01935nam a2200205Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240829111851.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180518s2008 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540421955
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA3
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Silva, Ana Cannas da
245 ## - TITLE STATEMENT
Title Lectures on symplectic geometry
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. [c2001]
Place of publication, distribution, etc. German:
300 ## - Physical Description
Pages: 247 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note I Symplectic Manifolds<br/>1. Symplectic Forms<br/>2. Symplectic Form on the Cotangent Bundle<br/><br/>II Symplectomorphisms<br/>3. Lagrangian Submanifolds<br/>4. Generating Functions<br/>5. Recurrence<br/><br/>III Local Forms<br/>6. Preparation for the Local Theory<br/>7. Moser Theorems<br/>8. Darboux-Moser-Weinstein Theory<br/>9. Weinstein Tubular Neighborhood Theorem<br/><br/>IV Contact Manifolds<br/>10. Contact Forms<br/>11. Contact Dynamics<br/><br/>V Compatible Almost Complex Structures<br/>12. Almost Complex Structures<br/>13. Compatible Triples<br/>14. Dolbeault Theory<br/><br/>VI Kähler Manifolds<br/>15. Complex Manifolds<br/>16. Kähler Forms<br/>17. Compact Kähler Manifolds<br/><br/>VII Hamiltonian Mechanics<br/>18. Hamiltonian Vector Fields<br/>19. Variational Principles<br/>20. Legendre Transform<br/><br/>VIII Moment Maps<br/>21. Actions<br/>22. Hamiltonian Actions<br/><br/>IX Symplectic Reduction<br/>23. The Marsden-Weinstein-Meyer Theorem<br/>24. Reduction<br/><br/>X Moment Maps Revisited<br/>25. Moment Map in Gauge Theory<br/>26. Existence and Uniqueness of Moment Maps<br/>27. Convexity<br/><br/>XI Symplectic Toric Manifolds<br/>28. Classification of Symplectic Toric Manifolds<br/>29. Delzant Construction<br/>30. Duistermaat-Heckman Theorems
520 ## - SUMMARY, ETC.
Summary, etc. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 05/14/2018 QA3 01146 Book