Biquotients with Singly Generated Rational Cohomology

By V. Kapovitch, W. Ziller. 2002

51 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2e29f3236da197af0b9abbb0f34256471476e3ec

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. B. Totaro
2. Y. Félix
3. David Anderson
4. Sam Payne

In Geometry and Topology

1. Y. Félix
2. B. Totaro
3. Sam Payne
4. Max Lieblich
5. Philipp Gross
6. Fabio Nironi
7. N. Perrin
8. Stefan Schreieder

In Mathematical Physics

1. Y. Félix
2. B. Totaro
3. Sam Payne
4. Max Lieblich
5. Fabio Nironi
6. Philipp Gross
7. N. Perrin
8. W. Ziller

Citations in the corpus

• Algebraic models in geometry (2008, background): “In [151], Kapovitch and Ziller studied the biquotients G//U such that the algebra H∗(G//U;Q) is generated by one element.”
• Cheeger Manifolds and the Classification of Biquotients (2002, methodology): “The classification of biquotients which are simply connected rational homology spheres has been given independently by Kapovitch and Ziller [17].”