English

Algorithm for multiplying Schubert classes

Algebraic Geometry 2014-04-02 v4 Algebraic Topology

Abstract

Based on the multiplicative rule of Schubert classes obtained in [Du3], we present an algorithm computing the product of two arbitrary Schubert classes. As a result, the algorithm gives also a method to compute the integral cohomology ring of a flag manifold independent of the classical spectral sequence technique due to Leray and Borel.

Keywords

Cite

@article{arxiv.math/0309158,
  title  = {Algorithm for multiplying Schubert classes},
  author = {Haibao Duan and Xuezhi Zhao},
  journal= {arXiv preprint arXiv:math/0309158},
  year   = {2014}
}

Comments

21 pages; 10 tables