On certain symplectic circle actions
Godinho, Leonor
J. Symplectic Geom., Tome 3 (2005) no. 2, p. 357-383 / Harvested from Project Euclid
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In this work we use localization formulas in equivariant cohomology to show that some symplectic actions on $6$-dimensional manifolds with a finite fixed point set must be Hamiltonian. Moreover, we show that their fixed point data (number of fixed points and their isotropy weights) is the same as in $S^2\times S^2 \times S^2$ equipped with a diagonal circle action, and we compute their cohomology rings.
Publié le : 2005-09-14
Classification:  
@article{1144954878,
     author = {Godinho, Leonor},
     title = {On certain symplectic circle actions},
     journal = {J. Symplectic Geom.},
     volume = {3},
     number = {2},
     year = {2005},
     pages = { 357-383},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1144954878}
}

Godinho, Leonor. On certain symplectic circle actions. J. Symplectic Geom., Tome 3 (2005) no. 2, pp.  357-383. http://gdmltest.u-ga.fr/item/1144954878/