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Cohomology Splittings of Stiefel Manifolds
Author(s) -
Kitchloo Nitu
Publication year - 2001
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610701002216
Subject(s) - cohomology , stiefel manifold , mathematics , decomposition , pure mathematics , algebra over a field , spectral sequence , chemistry , organic chemistry
The complex Stiefel manifolds admit a stable decomposition as Thom spaces of certain bundles over Grassmannians. The purpose of the paper is to identify the splitting in any complex oriented cohomology theory.