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Results tagged with symplectic-topology
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user 11846
5
votes
Is the symplectic quotient $\mu^{-1}(0)/G$ unique up to something?
Given a Hamiltonian group action, moment maps may only differ by constant addition. So you seem to be comparing the reduced spaces at different levels. Let me state the two extreme cases.
When $G$ is …
- 1,398
2
votes
On Lerman's description of symplectic cut
The claim is not true unless it is toric. Consider the coadjoint orbit of $SU(3)$ at a generic point. The moment map image is a hexagon, with each edge parallel to one of weights $\alpha_1, \alpha_2, …
- 1,398
5
votes
1
answer
384
views
Can symplectic blow up increase symplectic capacities?
Let $N$ be a symplectic submanifold of $M$. Symplectic blow up of $M$ along $N$ is an operation replacing a tubular neighborhood of $N$ with the projectivization of that neighborhood. So it decreases …
- 1,398