Evaluation fibrations and topology of symplectomorphisms

Kȩdra, Jarosław

doi:10.1090/S0002-9939-04-07507-0

Evaluation fibrations and topology of symplectomorphisms
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by Jarosław Kȩdra PDF

Proc. Amer. Math. Soc. 133 (2005), 305-312 Request permission

Abstract:

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.

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