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Hamiltonian systems, symplectic flows, classical integrable systems
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.
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, …