Alternating signs of quiver coefficients

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We prove K-theoretic generalizations of the component formulas of Knutson, Miller, and Shimozono, and deduce that K-theoretic quiver coefficients have alternating signs. We also prove new variants of the factor sequences conjecture, and a conjecture of Knutson, Miller, and Shimozono stating that the double ratio formula agrees with the original quiver formulas. For completeness we include a short proof of the ratio formula for quiver varieties.
This paper has been reorganized to accommodate new variations of the factor sequences conjecture. A short proof of the ratio formula has also been added for completeness. 20 pages

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Combinatorics, Algebraic Geometry, 05E15 (Primary) 14M15, 14M12, 19E08 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/67945

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307014
 http://arxiv.org/abs/math/0307014

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arXiv