The cohomology rings of Stiefel manifolds with integer coefficients

ČADEK, Martin, Jiří VANŽURA and Mamoru MIMURA. The cohomology rings of Stiefel manifolds with integer coefficients. Journal of Mathematics of Kyoto University. Kyoto (Japonsko), 2003, vol. 43, No 2, p. 425-442. ISSN 0023-608X.

Basic information

Original name

The cohomology rings of Stiefel manifolds with integer coefficients

Authors

ČADEK, Martin (203 Czech Republic, guarantor), Jiří VANŽURA (203 Czech Republic) and Mamoru MIMURA (392 Japan)

Edition

Journal of Mathematics of Kyoto University, Kyoto (Japonsko), 2003, 0023-608X

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Japan

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 0.233

RIV identification code

RIV/00216224:14310/03:00008182

Organization unit

Faculty of Science

Keywords in English

Stiefel manifold; singular cohomology; Gysin exact sequence.

Tags

Gysin exact sequence., singular cohomology, Stiefel manifold

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Abstract

V originále

The aim of this paper is the description of the integral cohomology rings of real Stiefel manifolds in terms of generators and relations. The computation is carried out by using the Gysin exact sequence.

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Links

GA201/99/0675, research and development project	Name: Geometrické a topologické struktury v matematické fyzice Investor: Czech Science Foundation, Geometric and topological structures in mathematical physics
MSM 143100009, plan (intention)	Name: Matematické struktury algebry a geometrie Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry