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arxiv: 1503.05880 · v3 · pith:FDSZDY7Cnew · submitted 2015-03-19 · 🧮 math.AG · math.AC· math.CO

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

classification 🧮 math.AG math.ACmath.CO
keywords formulascombinatorialquiverthreetypeanyiarbitrarilybuch
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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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