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

We provide combinatorial formulas for the multidegree and K-polynomial of an arbitrarily oriented type A quiver locus. These formulas are generalizations of three formulas by Knutson, Miller, and Shimozono from the equioriented setting. In particular, we prove the K-theoretic component formula conjectured by Buch and Rimányi.