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Results tagged with torus-action
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user 99732
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Does there exist smooth circle action on manifolds M^{4n} with exactly three fixed points su...
There is an $S^1$-action on the Quaternionic projective plane $\mathbb{H}\mathbb{P}^2$ with exactly 3 fixed points. They are not hard to construct (done in a similar way to the standard $S^1$-actions …
- 6,995
1
vote
Linearization of hamiltonian torus action
For fixed submanifolds, there is an analogous statement in Theorem 22.1 of V. Guillemin and S. Sternberg. Symplectic techniques in physics. Cambridge University Press, Cambridge, xi+468 pp, (1984).
…
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Accepted
Faithful locally free circle actions on a torus must be free?
This follows from Theorem 9.3 (page 216) of the book "Compact tranformation groups" by Bredon (note that it is freely available online).
More is true: Any effective group action of a torus on a torus …
- 6,995