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Results tagged with sg.symplectic-geometry
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user 7311
Hamiltonian systems, symplectic flows, classical integrable systems
24
votes
What does the word "symplectic" mean?
The following is from page 1 of *Lectures on symplectic geometry* by Ana Cannas da Silva:
As a curiousity, note that two centuries ago the name symplectic
geometry did not exist. If you consult a maj …
- 8,842
115
votes
Accepted
About a letter by Richard Palais of 1965.
I haven't thought about that letter for a very long time, but as far as I can recall I didn't ever make it publicly available, and I don't think any of the friends to whom I sent it did either. Howeve …
- 15.3k
1
vote
Special Hamiltonian diffeomorphisms
A time-one map of a flow is homotopic (even isotopic) to the identity, so that provides a lot of homotopy and homology obstructions. In the two dimensional case, i.e., an oriented surface with a desig …
- 15.3k
16
votes
Book on symplectic geometry
You can find a very nice introduction to the subject in these notes by Ana Cannas da Silva:
www.math.princeton.edu/~acannas/symplectic.pdf
- 15.3k