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Multiplicative rule of Schubert classes

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An Erratum to this article was published on 21 September 2006

Abstract

Let G be a compact connected Lie group and let H be the centralizer of a one-parameter subgroup in G. Combining the ideas of Bott-Samelson resolutions of Schubert varieties and the enumerative formula on a twisted product of 2 spheres obtained in [Du2], we obtain an explicit formula for multiplying Schubert classes in the flag manifold \(G \diagup H\).

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Authors and Affiliations

  1. Institute of Mathematics, Chinese Academy of Sciences, Beijing, 100080, P.R. China

    Haibao Duan

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  1. Haibao Duan
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Correspondence to Haibao Duan.

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Mathematics Subject Classification (2000)

14N15 (14M10)

An erratum to this article is available at http://dx.doi.org/10.1007/s00222-006-0016-z.

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Duan, H. Multiplicative rule of Schubert classes. Invent. math. 159, 407–436 (2005). https://doi.org/10.1007/s00222-004-0394-z

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