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arXiv:math/0407160 [math.CO]AbstractReferencesReviewsResources

Catalan numbers and Schubert polynomials for $w=1(n+1)... 2$

Alexander Woo

Published 2004-07-09Version 1

We show that the Schubert polynomial S_w specializes to the Catalan number C_n when $w=1(n+1)...2$. Several proofs of this result as well as a q-analog are given. An application to the singularities of Schubert varieties is given.

Comments: 9 pages, 1 figure
Categories: math.CO, math.AG
Subjects: 05E99, 14M15
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