5 papers · 1 filter
Expander representations of quivers
Markus Reineke
We propose a definition of expander representations of quivers, generalizing dimension (or linear algebra) expanders, as a qualitative refinement of slope stability. We prove exist…
Donaldson-Thomas invariants of symmetric quivers
Markus Reineke
We review several algebraic, combinatorial and geometric interpretations of motivic Donaldson-Thomas invariants of symmetric quivers.
Motives of Nullcones of Quiver Representations
Lydia Gösmann, Markus Reineke
We derive two formulas for motives of nullcones of quiver representations, one being explicit, the other being of wall-crossing type.
Counting generating spaces of matrices
Markus Reineke
We prove that generating subspaces of matrix rings over finite fields are counted by polynomials. We use this result to define and study two-variable versions of polynomials counti…
Spherical representation spaces of quivers
Jennifer Müller, Markus Reineke
We consider representation spaces of quivers, together with their base change action, and classify the spherical varieties among them.