3 papers
math.AG2026
Seidel and Pieri products in cominuscule quantum K-theory
Anders S. Buch, Pierre-Emmanuel Chaput, Nicolas Perrin
We prove a collection of formulas for products of Schubert classes in the quantum -theory ring of a cominuscule flag variety . This includes a -theory version of t…
math.AG2026
Positivity of minuscule quantum K-theory
Anders S. Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea +1
We prove that the Schubert structure constants of the quantum -theory ring of any minuscule flag variety or quadric hypersurface have signs that alternate with codimension. We a…
math.AG2025
Equivariant rigidity of Richardson varieties
Anders S. Buch, Pierre-Emmanuel Chaput, Nicolas Perrin
We prove that Schubert and Richardson varieties in flag manifolds are uniquely determined by their equivariant cohomology classes, as well as a stronger result that replaces Schube…