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arXiv · 1212.5742

Generalized Schubert Calculus

Nora Ganter·Arun Ram
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Abstract

In this paper we study the T-equivariant generalized cohomology of flag varieties using two models, the Borel model and the moment graph model. We study the differences between the Schubert classes and the Bott-Samelson classes. After setup of the general framework we compute, for classes of Schubert varieties of complex dimension <4 in rank 2 (including A_2, B_2, G_2 and A_1^{(1)}), moment graph representatives, Pieri-Chevalley formulas and products of Schubert classes. These computations generalize the computations in equivariant K-theory for rank 2 cases which are given in Griffeth-Ram arXiv:math/0405333.

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BibTeXRIS

Nora Ganter, Arun Ram. 2012-12-22. Generalized Schubert Calculus. https://arxiv.org/abs/1212.5742

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