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Biquotients with Singly Generated Rational Cohomology

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Abstract

We classify all biquotients whose rational cohomology rings are generated by one element. As a consequence we show that the Gromoll–Meyer 7-sphere is the only exotic sphere which can be written as a biquotient.

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Authors and Affiliations

  1. University of California, Santa Barbara, CA, 93110, U.S.A

    Vitali Kapovitch

  2. University of Pennsylvania, Philadelphia, PA, 19104, U.S.A

    Wolfgang Ziller

Authors
  1. Vitali Kapovitch
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  2. Wolfgang Ziller
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Kapovitch, V., Ziller, W. Biquotients with Singly Generated Rational Cohomology. Geometriae Dedicata 104, 149–160 (2004). https://doi.org/10.1023/B:GEOM.0000022860.89824.2f

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  • DOI: https://doi.org/10.1023/B:GEOM.0000022860.89824.2f

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