A formula for non-equioriented quiver orbits of type A

dc.creatorBuch, A. S.
dc.creatorRimanyi, R.
dc.date2004-12-03
dc.date2006-01-19
dc.date.accessioned2026-07-07T06:39:07Z
dc.date.available2026-07-07T06:39:07Z
dc.descriptionWe prove a positive combinatorial formula for the equivariant class of an orbit closure in the space of representations of an arbitrary quiver of type $A$. Our formula expresses this class as a sum of products of Schubert polynomials indexed by a generalization of the minimal lace diagrams of Knutson, Miller, and Shimozono. The proof is based on the interpolation method of Fehér and Rimányi. We also conjecture a more general formula for the equivariant Grothendieck class of an orbit closure.
dc.descriptionFinal version to appear in Journal of Algebraic Geometry
dc.identifierhttps://arxiv.org/abs/math/0412073
dc.identifierhttp://arxiv.org/abs/math/0412073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100967
dc.subjectAlgebraic Geometry
dc.subject14N10; 57R45, 05E15, 14M12
dc.titleA formula for non-equioriented quiver orbits of type A
dc.typetext

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