Three combinatorial formulas for type A quiver polynomials and K-polynomials
Algebraic Geometry
2019-05-29 v3 Commutative Algebra
Combinatorics
Abstract
We provide combinatorial formulas for the multidegree and K-polynomial of an arbitrarily oriented type A quiver locus. These formulas are generalizations of three of Knutson-Miller-Shimozono's formulas from the equioriented setting; in particular, we prove the K-theoretic component formula conjectured by Buch and Rim\'anyi.
Keywords
Cite
@article{arxiv.1503.05880,
title = {Three combinatorial formulas for type A quiver polynomials and K-polynomials},
author = {Ryan Kinser and Allen Knutson and Jenna Rajchgot},
journal= {arXiv preprint arXiv:1503.05880},
year = {2019}
}
Comments
v3: significant improvements throughout the article, final version accepted for publication