Catalan numbers and Schubert polynomials for $w=1(n+1)... 2$
Combinatorics
2007-05-23 v1 Algebraic Geometry
Abstract
We show that the Schubert polynomial S_w specializes to the Catalan number C_n when . Several proofs of this result as well as a q-analog are given. An application to the singularities of Schubert varieties is given.
Keywords
Cite
@article{arxiv.math/0407160,
title = {Catalan numbers and Schubert polynomials for $w=1(n+1)... 2$},
author = {Alexander Woo},
journal= {arXiv preprint arXiv:math/0407160},
year = {2007}
}
Comments
9 pages, 1 figure