Alternating formulas for K-theoretic quiver polynomials
组合数学
2007-05-23 v1 代数几何
摘要
The main theorem here is the K-theoretic analogue of the cohomological `stable double component formula' for quiver functions in [Knutson, Miller, and Shimozono, math.AG/0308142]. This K-theoretic version is still in terms of lacing diagrams, but nonminimal diagrams contribute terms of higher degree. The motivating consequence is a conjecture of A. Buch on the sign-alternation of the coefficients appearing in his expansion of quiver K-polynomials in terms of stable Grothendieck polynomials for partitions [Buch, math.AG/0104029].
引用
@article{arxiv.math/0312250,
title = {Alternating formulas for K-theoretic quiver polynomials},
author = {Ezra Miller},
journal= {arXiv preprint arXiv:math/0312250},
year = {2007}
}
备注
11 pages