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

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dc.creatorWoo, Alexander
dc.date2004-07-09
dc.date.accessioned2026-07-07T05:10:08Z
dc.date.available2026-07-07T05:10:08Z
dc.descriptionWe 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.
dc.description9 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0407160
dc.identifierhttp://arxiv.org/abs/math/0407160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71838
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subject05E99 (Primary) 14M15 (Secondary)
dc.titleCatalan numbers and Schubert polynomials for $w=1(n+1)... 2$
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