Motives of central slope Kronecker moduli
Alexandre Astruc, Frederic Chapoton, Karen Martinez, Markus Reineke

TL;DR
This paper explores the motives of Kronecker moduli spaces with central slope, using quiver dualities and reflection functors to derive algebraic and q-difference equations for their generating series.
Contribution
It introduces a novel approach to compute motives of Kronecker moduli spaces via dualities and difference equations, advancing understanding in algebraic geometry.
Findings
Derived algebraic and q-difference equations for motives
Connected quiver dualities with moduli space motives
Provided explicit generating series solutions
Abstract
We use dualities of quiver moduli induced by reflection functors to describe generating series of motives of Kronecker moduli spaces of central slope as solutions of algebraic and q-difference equations.
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