Alternating formulas for K-theoretic quiver polynomials

The main theorem here is the K-theoretic analogue of the cohomological "stable double component formula" for quiver polynomials in [KMS]. This K-theoretic version is still in terms of lacing diagrams, but nonminimal diagrams contribute terms of higher degree. The motivating consequence is a conjecture of Buch [B1] on the sign alternation of the coefficients appearing in his expansion of quiver K-polynomials in terms of stable Grothendieck polynomials for partitions.

Duke Scholars

Author Ezra Miller Mathematics