18 citations · 33 across the 14 of their papers we have counts for
6 papers · 1 filter
The Value of the Kac Polynomial at One
Hans Franzen, Thorsten Weist
We establish a formula for the value of the Kac polynomial at one in terms of Kac polynomials, evaluated at one, of the universal (abelian) covering quiver by applying torus locali…
Semi-Stable Chow-Hall Algebras of Quivers and Quantized Donaldson-Thomas Invariants
H. Franzen, M. Reineke
The semi-stable ChowHa of a quiver with stability is defined as an analog of the Cohomological Hall algebra of Kontsevich and Soibelman via convolution in equivariant Chow groups o…
Non-Schurian indecomposables via intersection theory
Hans Franzen, Thorsten Weist
For an acyclic quiver with three vertices, we consider the canonical decomposition of a non-Schurian root and associate certain representations of a generalized Kronecker quiver. T…
On the Semi-Stable CoHa and its Modules Arising from Smooth Models
Hans Franzen
We study a variant of the semi-stable Cohomological Hall algebra which we construct using equivariant Chow groups. This algebra, we call it the semi-stable ChowHa, arises as a quot…
On Cohomology Rings of Non-Commutative Hilbert Schemes and CoHa-Modules
Hans Franzen
We prove that Chow groups of certain non-commutative Hilbert schemes have a basis consisting of monomials in Chern classes of the universal bundle. Furthermore, we realize the coho…
Chow Rings of Fine Quiver Moduli are Tautologically Presented
Hans Franzen
A result of A. King and C. Walter asserts that the Chow ring of a fine quiver moduli space is generated by the Chern classes of universal bundles if the quiver is acyclic. We will…