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Cohomology of Complex Projective Stiefel Manifolds

Published online by Cambridge University Press:  20 November 2018

L. Astey ,
S. Gitler ,
E. Micha  and
G. Pastor
L. Astey
Affiliation:
Centro de Investigación del IPN, Apartado Postal 14-740, México, 07000 D.F. email: lastey@math.cinvestav.mx
S. Gitler
Affiliation:
University of Rochester, Rochester, NY 14627-0001, USA email: sgitler@math.rochester.edu
E. Micha
Affiliation:
Centro de Investigación del IPN, Apartado Postal 14-740, México, 07000 D.F. email: emicha@math.cinvestav.mx
G. Pastor
Affiliation:
Instituto Tecnológico Autónomo de México, Rio Hondo No. 1, San Angel, México, 01000 D.F. email: pastor@gauss.rhon.itam.mx
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Abstract

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The cohomology algebra mod $p$ of the complex projective Stiefel manifolds is determined for all primes $p$. When $p=2$ we also determine the action of the Steenrod algebra and apply this to the problem of existence of trivial subbundles of multiples of the canonical line bundle over a lens space with 2-torsion, obtaining optimal results in many cases.

Keywords

55N1055S10
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 5 , 01 October 1999 , pp. 897 - 914
Copyright
Copyright © Canadian Mathematical Society 1999

References

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