On combinatorics of quiver component formulas

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dc.creatorYong, Alexander
dc.date2003-07-02
dc.date.accessioned2026-07-07T06:25:56Z
dc.date.available2026-07-07T06:25:56Z
dc.descriptionBuch and Fulton conjectured the nonnegativity of the quiver coefficients appearing in their formula for a quiver variety. Knutson, Miller and Shimozono proved this conjecture as an immediate consequence of their ``component formula''. We present an alternative proof of the component formula by substituting combinatorics for Grobner degeneration. We relate the component formula to the work of Buch, Kresch, Tamvakis and the author where a ``splitting'' formula for Schubert polynomials in terms of quiver coefficients was obtained. We prove analogues of this latter result for the type BCD-Schubert polynomials of Billey and Haiman.
dc.description18 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0307019
dc.identifierhttp://arxiv.org/abs/math/0307019
dc.identifierJournal of Algebraic Combinatorics, 21, 351-371, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96972
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subject05E15; 14M15; 19E08
dc.titleOn combinatorics of quiver component formulas
dc.typetext

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