Generalized permutahedra and Schubert calculus
Combinatorics
2022-12-06 v1
Abstract
We connect generalized permutahedra with Schubert calculus. Thereby, we give sufficient vanishing criteria for Schubert intersection numbers of the flag variety. Our argument utilizes recent developments in the study of Schubitopes, which are Newton polytopes of Schubert polynomials. The resulting tableau test executes in polynomial time.
Cite
@article{arxiv.2010.14332,
title = {Generalized permutahedra and Schubert calculus},
author = {Avery St. Dizier and Alexander Yong},
journal= {arXiv preprint arXiv:2010.14332},
year = {2022}
}
Comments
13 pages