### 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.

Original language | English |
---|---|

Pages (from-to) | 305-312 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 133 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 2005 |

### Keywords

- Rational homotopy
- symplectic manifold
- symplectomorphism

### Cite this

**Evaluation fibrations and topology of symplectomorphisms.** / Kedra, Jaroslaw Janusz.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 133, no. 1, pp. 305-312. https://doi.org/10.1090/S0002-9939-04-07507-0

}

TY - JOUR

T1 - Evaluation fibrations and topology of symplectomorphisms

AU - Kedra, Jaroslaw Janusz

PY - 2005/7

Y1 - 2005/7

N2 - 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.

AB - 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.

KW - Rational homotopy

KW - symplectic manifold

KW - symplectomorphism

U2 - 10.1090/S0002-9939-04-07507-0

DO - 10.1090/S0002-9939-04-07507-0

M3 - Article

VL - 133

SP - 305

EP - 312

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -