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ArticleOriginal scientific text

Title

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

Authors 1, 1

Affiliations

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

Abstract

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.

Keywords

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

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Banach Center Publications
1998/45/1
Export to PBN, Opens in new tab
Pages:
25-39
Main language of publication
English
Published
1998
Exact and natural sciences