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Evaluation fibrations and topology of symplectomorphisms

Author: Jaroslaw Kedra
Journal: Proc. Amer. Math. Soc. 133 (2005), 305-312
MSC (2000): Primary 55P62; Secondary 57R17
Published electronically: July 26, 2004
MathSciNet review: 2086223
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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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Additional Information

Jaroslaw Kedra
Affiliation: Institute of Mathematics US, Wielkopolska 15, 70-451 Szczecin, Poland
Address at time of publication: Mathematisches Institut LMU, Theresienstr. 39, 80333 Munich, Germany

Keywords: Rational homotopy, symplectic manifold, symplectomorphism
Received by editor(s): July 27, 2003
Received by editor(s) in revised form: September 10, 2003
Published electronically: July 26, 2004
Additional Notes: The author is a member of EDGE, Research Training Network HPRN-CT-2000-00101, supported by The European Human Potential Programme
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2004 American Mathematical Society

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