100 citations · 319 across the 33 of their papers we have counts for
40 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…
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…
Tevelev degrees in Gromov-Witten theory
Anders S. Buch, Rahul Pandharipande
For a nonsingular projective variety , the virtual Tevelev degree in Gromov-Witten theory is defined as the virtual degree of the morphism from to the product $M_…
A journey from the octonionic to a fake
Lev Borisov, Anders Buch, Enrico Fatighenti
We discover a family of surfaces of general type with and as free quotients of special linear cuts of the octonionic projective plane $\mathbb O \mathbb P^…
Positivity determines the quantum cohomology of Grassmannians
Anders S. Buch, Chengxi Wang
We prove that if X is a Grassmannian of type A, then the Schubert basis of the (small) quantum cohomology ring QH(X) is the only homogeneous deformation of the Schubert basis of th…