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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, …
nicolas's user avatar
  • 693
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.
nicolas's user avatar
  • 693