12 research outputs found
The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds
This paper contains an explicit computation of the KO*-ring structure of an
m-fold product of CP^{\infty}, the Davis-Januszkiewicz spaces and toric
manifolds which have trivial Sq^2-homology.Comment: 34 page
Cohomology of Complex Projective Stiefel Manifolds
Abstract. 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.