26 citations · 83 across the 26 of their papers we have counts for
30 papers
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…
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…
Bidilatation of Small Littlewood-Richardson Coefficients
Pierre-Emmanuel Chaput, Nicolas Ressayre
The Littlewood-Richardson coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the general linear group GL$(n,…
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…
Affine symmetries in quantum cohomology: corrections and new results
Pierre-Emmanuel Chaput, Nicolas Perrin
In a previous paper Affine symmetries of the equivariant quantum cohomology of rational homogeneous spaces, a general formula was given for the multiplication by some special Schub…
Parametrization, structure and Bruhat order of certain spherical quotients
Pierre-Emmanuel Chaput, Lucas Fresse, Thomas Gobet
Let be a reductive algebraic group and let be the stabilizer of a nilpotent element of the Lie algebra of . We consider the action of on the flag variety of ,…