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Hamiltonian systems, symplectic flows, classical integrable systems
24
votes
4
answers
5k
views
Reasons for the Arnold conjecture
I am trying to understand the Arnold conjecture in Symplectic Geometry, which basically tells us the following: If $M$ is a compact symplectic manifold and $H_t$ be a 1-periodic Hamiltonian function, …
5
votes
2
answers
2k
views
Applications of Floer homology
Can somebody tell me of other applications of Floer homology besides the proof of the Arnold conjecture.
Every answer would be appreciated.