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Alternating formulas for $K$-theoretic quiver polynomials
Ezra Miller
Source: Duke Math. J. Volume 128, Number 1 (2005), 1-17.
Abstract
The main theorem here is the -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 -polynomials in terms of stable Grothendieck polynomials for partitions.
Primary Subjects: 05E05
Secondary Subjects: 14C17
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1116361225
Digital Object Identifier: doi:10.1215/S0012-7094-04-12811-8
Mathematical Reviews number (MathSciNet):
MR2137947
Zentralblatt MATH identifier:
02223074
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