6
votes
Accepted
Symplectic diffeomorphism of the cylinder moving a point to 0
The symplectic group acts (n)-transitively on connected manifolds of dim $\geq 2$. See Michor and Vizman
n-Transitivity of certain diffeomorphism groups
https://arxiv.org/pdf/dg-ga/9406005.pdf
(1)-...
2
votes
What is so geometric about symplectic geometry?
My take on this is fairly simple-minded.
A metric is a non-degenerate symmetric bilinear form on a vector space. This yields a notion of distance, angle and volume. Dually, we can define a 'cometric' ...
1
vote
Fredholm property of linearization of Floer map
They show in Section 8.7.c that $(dF^H)_u$ is a Fredholm operator.
What remains is simple linear algebra (even continuity is irrelevant). Suppose $A: V \times W \to U$ is a linear map, with $B = A|_V$ ...
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