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Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians (1702.03113v1)
Published 10 Feb 2017 in math.AG and math.KT
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.