Abstract
We provide combinatorial formulas for the multidegree and -polynomial of an arbitrarily oriented type quiver locus. These formulas are generalizations of three formulas by Knutson, Miller, and Shimozono from the equioriented setting. In particular, we prove the -theoretic component formula conjectured by Buch and Rimányi.
Citation
Ryan Kinser. Allen Knutson. Jenna Rajchgot. "Three combinatorial formulas for type quiver polynomials and -polynomials." Duke Math. J. 168 (4) 505 - 551, 15 March 2019. https://doi.org/10.1215/00127094-2018-0043
Information