Janko Latschev
Lecture course Introduction to symplectic geometry, Wintersemester 2012/13
The lectures take place Mondays 8-10 in H6 and Wednesdays 8-10 in H3.
The exercise class takes place Thursdays 14-16 in room E11.
The following books and lecture notes are useful study material for various parts of the course.
For background on manifolds, flows, Lie derivative, etc.:
| F. Warner | Foundations of differentiable manifolds and Lie groups | Springer Verlag |
For background on differential topology (tubular neighborhood theorem, intersection theory, etc.):
| J. Milnor | Topology from the differentiable viewpoint | The University of Virginia Press |
| V. Guillemin, A. Pollack | Differential topology | Prentice Hall |
| M. Hirsch | Differential topology | Springer Verlag |
For general topics in symplectic geometry:
| D. McDuff, D. Salamon | Introduction to symplectic topology | Oxford University Press |
| A. Canas da Silva | Lectures on Symplectic Geometry | Springer Lecture Notes in Mathematics 1764 |
| K. Cieliebak | Lectures on Symplectic Geometry, part A |
| H. Hofer, E. Zehnder | Symplectic Invariants and Hamiltonian dynamics | Birkhäuser |
For holomorphic curves in symplectic geometry:
| D. McDuff, D. Salamon | J-holomorphic curves in symplectic topology | AMS Colloquium Series |
| C. Wendl | Lectures on holomorphic curves |
M. Audin, J. Lafontaine (eds.) | Holomorphic curves in symplectic geometry | Birkhäuser Progress in Math. 117 |
The exercise sheets will be posted here:
Sheet 1
Sheet 2
Sheet 3
Sheet 4
Sheet 5
Sheet 6
Blatt 7
Blatt 8
Blatt 9
Blatt 10
Blatt 11
Other material will also appear here as needed.
14.11. Here is the correct proof of the linear algebra lemma.
05.12. Here is a solution for exercise 3 on Sheet 5.
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