基于Schubert类的旗流形上同调的描述
代数拓扑
2008-07-25 v2 代数几何
摘要
我们用Schubert类描述了B_n、D_n、G_2和F_4型旗流形的整上同调环。主要工具是Bernstein-Gelfand-Gelfand和Demazure的除差算子。作为应用，我们计算了相应复代数群的Chow环，从而恢复了R. Marlin的结果。
引用
@article{arxiv.0709.0785,
title = {A description based on Schubert classes of cohomology of flag manifolds},
author = {Masaki Nakagawa},
journal= {arXiv preprint arXiv:0709.0785},
year = {2008}
}
备注
25 pages, AMS-LaTeX; typos corrected, an error concerning the Schubert classes corrected, Remarks 4.4 and 4.8 added