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Results tagged with sg.symplectic-geometry
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user 91903
Hamiltonian systems, symplectic flows, classical integrable systems
22
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704
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$(M,\omega)$ 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 …
- 697
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 …
- 697