506 citations · 1.1k across the 47 of their papers we have counts for
Showing 2002 · math.COShow all
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math.CO2002★ 1 cited
Affine approach to quantum Schubert calculus
Alexander Postnikov
This article presents a formula for products of Schubert classes in the quantum cohomology ring of the Grassmannian. We introduce a generalization of Schur symmetric polynomials fo…
math.CO2002
Quantum Bruhat graph and Schubert polynomials
Alexander Postnikov
The quantum Bruhat graph, which is an extension of the graph formed by covering relations in the Bruhat order, is naturally related to the quantum cohomology ring of G/B. We enhanc…
math.CO2002★ 3 cited
Smoothness of Schubert varieties via patterns in root systems
Sara Billey, Alexander Postnikov
The aim of this article is to present a smoothness criterion for Schubert varieties in generalized flag manifolds in terms of patterns in root systems. We generalize Lakshmib…