Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians
Algebraic Geometry
2017-02-13 v1 K-Theory and Homology
Abstract
We provide several ingredients towards a generalization of the Littlewood-Richardson rule from Chow groups to algebraic cobordism. In particular, we prove a simple product-formula for multiplying classes of smooth Schubert varieties with any Bott-Samelson class in algebraic cobordism of the grassmannian. We also establish some results for generalized Schubert polynomials for hyperbolic formal group laws.
Keywords
Cite
@article{arxiv.1702.03113,
title = {Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians},
author = {Jens Hornbostel and Nicolas Perrin},
journal= {arXiv preprint arXiv:1702.03113},
year = {2017}
}
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21 pages