Grothendieck classes of quiver varieties

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dc.creatorBuch, Anders Skovsted
dc.date2001-04-02
dc.date.accessioned2026-07-07T04:40:56Z
dc.date.available2026-07-07T04:40:56Z
dc.descriptionWe prove a formula for the structure sheaf of a quiver variety in the Grothendieck ring of its embedding variety. This formula generalizes and gives new expressions for Grothendieck polynomials. We furthermore conjecture that the coefficients in our formula have signs which alternate with degree. The proof of our formula involves $K$-theoretic generalizations of several useful cohomological tools, including the Thom-Porteous formula, the Jacobi-Trudi formula, and a Gysin formula of Pragacz.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0104029
dc.identifierhttp://arxiv.org/abs/math/0104029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61214
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subjectK-Theory and Homology
dc.subject14M15 (Primary) 14M12, 19E08, 05E05 (Secondary)
dc.titleGrothendieck classes of quiver varieties
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