Quiver polynomials in iterated residue form

TL;DR

This paper introduces a new generating sequence approach to quiver polynomials associated with Dynkin quivers, expanding the algebraic combinatorics toolkit for degeneracy loci.

Contribution

It provides a novel nonconventional generating sequence description for quiver polynomials in the Dynkin case, enhancing understanding of their algebraic structure.

Findings

New generating sequence description for Dynkin quiver polynomials

Connections established between degeneracy loci and algebraic combinatorics

Potential applications in representation theory and algebraic geometry

Abstract

Degeneracy loci polynomials for quiver representations generalize several important polynomials in algebraic combinatorics. In this paper we give a nonconventional generating sequence description of these polynomials, when the quiver is of Dynkin type.