Evaluation fibrations and topology of symplectomorphisms

Details Evaluation fibrations and topology of symplectomorphisms Evaluation fibrations and topology of symplectomorphisms

2003-05-23

arxiv.org/abs/math/0305325v1

Mathematics

Algebraic Topology

10 pages, no figures

Scientific paper

There are two main results. The first states that isotropy subgroups of
groups acting transitively on a 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 blow-ups.

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