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arXiv · 1503.05880

Three combinatorial formulas for type A quiver polynomials and K-polynomials

Ryan Kinser·Allen Knutson·Jenna Rajchgot
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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.

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Ryan Kinser, Allen Knutson, Jenna Rajchgot. 2015-03-19. Three combinatorial formulas for type A quiver polynomials and K-polynomials. https://doi.org/10.1215/00127094-2018-0043

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