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Hamiltonian systems, symplectic flows, classical integrable systems

5 votes

$(M,\omega)$ not symplectomorphic to $(M,-\omega)$

The following answer was a suggestion of Ivan Smith's. It seems like a very nice argument, although the proof is quite high-tech. Suppose $X$ is a compact symplectic manifold. By adding a small gene …
Emily Maw's user avatar
  • 697
22 votes
2 answers
704 views

$(M,\omega)$ not symplectomorphic to $(M,-\omega)$

Looking for an example of a symplectic manifold $(M,\omega)$ that is not symplectomorphic to $(M,-\omega)$. In particular this means that $M$ must be chiral (i.e. doesn't admit an orientation-reversi …
Emily Maw's user avatar
  • 697