Alternating formulas for K-theoretic quiver polynomials

Details Alternating formulas for K-theoretic quiver polynomials Alternating formulas for K-theoretic quiver polynomials

2003-12-12

arxiv.org/abs/math/0312250v1

Mathematics

Combinatorics

11 pages

Scientific paper

The main theorem here is the K-theoretic analogue of the cohomological `stable double component formula' for quiver functions in [Knutson, Miller, and Shimozono, math.AG/0308142]. 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 A. Buch on the sign-alternation of the coefficients appearing in his expansion of quiver K-polynomials in terms of stable Grothendieck polynomials for partitions [Buch, math.AG/0104029].

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