Contents Online
Journal of Symplectic Geometry
Volume 3 (2005)
Number 3
On certain symplectic circle actions
Pages: 357 – 383
DOI: https://dx.doi.org/10.4310/JSG.2005.v3.n3.a3
Author
Abstract
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.
Published 1 January 2005