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Alternating signs of quiver coefficients

Anders Skovsted Buch
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Abstract

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.

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Anders Skovsted Buch. 2003-12-24. Alternating signs of quiver coefficients. https://arxiv.org/abs/math/0307014

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