#### Vol. 294, No. 2, 2018

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

### Jens Hornbostel and Nicolas Perrin

Vol. 294 (2018), No. 2, 401–422
##### 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 Grassmannians. We also establish some results for generalized Schubert polynomials for hyperbolic formal group laws.

##### Keywords
Schubert calculus, cobordism, Grassmannian, generalized cohomology
##### Mathematical Subject Classification 2010
Primary: 14F43, 14M15, 14N15, 19L41, 55N22