1 citations · 4 across the 9 of their papers we have counts for
9 papers
Dimensions of type Hessenberg varieties over a fixed sheet
Megumi Harada, Martha Precup, Colleen Robichaux
Hessenberg varieties are subvarieties of the flag variety parameterized by a Hessenberg function and a ma…
A counterexample to the Ross--Yong conjecture for Grothendieck polynomials
Colleen Robichaux
We give a minimal counterexample for a conjecture of Ross and Yong (2015) which proposes a K-Kohnert rule for Grothendieck polynomials. We conjecture a revised version of this rule…
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…
Equivariant cohomology, Schubert calculus, and edge labeled tableaux
Colleen Robichaux, Harshit Yadav, Alexander Yong
This chapter concerns edge labeled Young tableaux, introduced by H. Thomas and the third author. It is used to model equivariant Schubert calculus of Grassmannians. We survey resul…
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…
Vanishing of Littlewood-Richardson polynomials is in P
Anshul Adve, Colleen Robichaux, Alexander Yong
J. DeLoera-T. McAllister and K. D. Mulmuley-H. Narayanan-M. Sohoni independently proved that determining the vanishing of Littlewood-Richardson coefficients has strongly polynomial…
K-Knuth Equivalence for Increasing Tableaux
Christian Gaetz, Michelle Mastrianni, Rebecca Patrias +4
A K-theoretic analogue of RSK insertion and Knuth equivalence relations was first introduced in 2006 by Buch, Kresch, Shimozono, Tamvakis, and Yong. The resulting K-Knuth equivalen…