Affiliation:
1. Faculty of mathematics University of Belgrade Studentski trg 16 Belgrade Serbia
Abstract
Abstract
For n a power of two, we give a complete description of the cohomology algebra H
*(G͠
n,3; ℤ2) of the Grassmann manifold G͠
n,3 of oriented 3-planes in ℝ
n
. We do this by finding a reduced Gröbner basis for an ideal closely related to this cohomology algebra. Using this Gröbner basis we also present an additive basis for H
*(G͠
n,3; ℤ2).
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