Alternating signs of quiver coefficients
Combinatorics
2007-05-23 v3 Algebraic Geometry
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.
Cite
@article{arxiv.math/0307014,
title = {Alternating signs of quiver coefficients},
author = {Anders Skovsted Buch},
journal= {arXiv preprint arXiv:math/0307014},
year = {2007}
}
Comments
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