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Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians

2017/02/10 by Jens Hornbostel, Nicolas Perrin, Hornbostel, Jens +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AG #math.KT

paper · pdf · doi:10.48550/arxiv.1702.03113

21 pages

arxiv created 2017/02/10 · openalex publication_date 2017/02/10 · arxiv updated 2017/02/13 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

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.

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