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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto

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Michael Usher
University of Georgia
MR ID: 664394
Reference #
OMN:202405.111404

Attributes

Posted date
2024-05-15 07:27:49
Revised date
2024-05-15 07:27:49
Level
   Graduate
Notes type
   Topics Course
Topic
   Geometry
      Differential Geometry
   Topology
      Differential Topology

Symplectic geometry and topology

These are the lecture notes used for topics courses on symplectic geometry and topology; the only prerequisites are familiarity with smooth manifolds and differential forms. Introductory material includes the geometry of Hamiltonian flows, symplectic linear algebra, almost complex and related geometric structures, and the Moser technique and its applications. Additional topics include Weinstein surgery, Lefschetz fibrations, and generating functions.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (1.2M) 05/15/24