4 papers
Shifted edge labeled tableaux and localizations
Colleen Robichaux
We prove cases of a conjectural rule of H. Yadav, A. Yong, and the author for structure coefficients of the D. Anderson-W. Fulton ring. In particular, we give a combinatorial descr…
An efficient algorithm for deciding vanishing of Schubert polynomial coefficients
Anshul Adve, Colleen Robichaux, Alexander Yong
Schubert polynomials form a basis of all polynomials and appear in the study of cohomology rings of flag manifolds. The vanishing problem for Schubert polynomials asks if a coeffic…
The A.B.C.Ds of Schubert calculus
Colleen Robichaux, Harshit Yadav, Alexander Yong
We collect Atiyah-Bott Combinatorial Dreams (A.B.C.Ds) in Schubert calculus. One result relates equivariant structure coefficients for two isotropic flag manifolds, with consequenc…
Computational complexity, Newton polytopes, and Schubert polynomials
Anshul Adve, Colleen Robichaux, Alexander Yong
The nonvanishing problem asks if a coefficient of a polynomial is nonzero. Many families of polynomials in algebraic combinatorics admit combinatorial counting rules and simultaneo…