There are two main results. The first states that isotropy subgroups of groups acting transitively on rationally hyperbolic spaces have infinitely generated rational cohomology algebra. Using this fact, we prove that the analogous statement holds for groups of symplectomorphisms of certain blowups.
|Number of pages||7|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - Jul 2005|
- Rational homotopy
- symplectic manifold