Janko Latschev
Lecture course Symplectic cohomology, Winter term 2015/16
The course takes place Monday 2-4 in H3 and Wednesday 8-10 in H5.
The exercise sessions will be integrated into the course from time to
time as discussions about problem sheets.
The problem sheets will be posted here:
Sheet 1
Sheet 2
Sheet 3
Sheet 4
Sheet 5
The following list contains useful study material for various parts of the course.
For background on 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, Y. Eliashberg | From Stein to Weinstein and back | AMS Colloquium Publications, vol. 59 |
For Morse theory and Floer homology:
| J. Milnor | Morse theory | Princeton University Press |
| A. Floer | Morse theory for Lagrangian intersections | J. Differential Geom. 28 (1988), 513-547 | (this is the original source) |
| D. Salamon | Lectures on Floer homology | in: IAS/Park City Math series Vol. 7, 1999 |
| M. Audin, M. Damian | Morse theory and Floer homology | Springer Verlag |
For symplectic (co)homology (we will only cover a fraction of the content of some of these):
| A. Floer, H. Hofer | Symplectic homology I: Open sets in C | Math. Z. 215, 1994, 37-88. |
| K. Cieliebak, A. Floer, H. Hofer | Symplectic homology II: a general construction | Math. Z. 218, 1995, 103-122. |
| A. Floer, H. Hofer, K. Wysocki | Applications of symplectic homology I | Math. Z. 217, 1994, 577-606. |
| K. Cieliebak, A. Floer, H. Hofer, K. Wysocki | Applications of symplectic homology II: Stability of the action spectrum | Math. Z. 223, 1996, 27-45. |
| C. Viterbo | Functors and computations in Floer homology with applications, I | GAFA 9, 1999, 985-1033. |
| C. Viterbo | Functors and computations in Floer homology with applications, part II | |
| A. Oancea | A survey of Floer homology for manifolds with contact type boundary or symplectic homology | Ensaios Matematicos 7, 2004, 51-91. |
| C. Wendl | A beginners overview of symplectic homology | |
| P. Seidel | A biased view of symplectic cohomology | Current Developments in Math, Volume 2006, 211--253 |
| P. Seidel | Symplectic Homology as Hochschild homology | |
| M. Abouzaid | Symplectic cohomology and Viterbo's theorem | in: Free loop spaces in geometry and topology, EMS Publishing House, 2015 |
| M. McLean | Lefschetz fibrations and symplectic homology | Geometry & Topology 13, 2009, 1877-1944 |
| A. Ritter | Topological quantum field theory structure on symplectic cohomology | J. Topology 6, 2013, 391-489 |
Other material will also appear here as needed.
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