A description based on Schubert classes of cohomology of flag manifolds

Details A description based on Schubert classes of cohomology of flag manifolds A description based on Schubert classes of cohomology of flag manifolds

2007-09-06

arxiv.org/abs/0709.0785v2

Fund. Math. 199(2008), 273-293

Mathematics

Algebraic Topology

25 pages, AMS-LaTeX; typos corrected, an error concerning the Schubert classes corrected, Remarks 4.4 and 4.8 added

Scientific paper

We describe the integral cohomology rings of the flag manifolds of types B_n,
D_n, G_2 and F_4 in terms of their Schubert classes. The main tool is the
divided difference operators of Bernstein-Gelfand-Gelfand and Demazure. As an
application, we compute the Chow rings of the corresponding complex algebraic
groups, recovering thereby the results of R. Marlin.

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