The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category

• Autorzy: J. Bryden , P. Zvengrowski
• Języki publikacji: EN

Abstrakty

EN

This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.

Słowa kluczowe

EN

cup products   cup product length   Lusternik-Schnirelmann category   degree one maps   diagonal map   Seifert manifolds   cohomology algebra  

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 45
• Numer: 1
• Strony: 25-39

Daty

wydano

1998

Twórcy

autor

J. Bryden

• Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada

autor

P. Zvengrowski

• Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada

Bibliografia

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