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Results tagged with differential-topology
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user 91903
The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.
22
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2
answers
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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