6 papers
A Gelfand-MacPherson correspondence for quiver moduli
Hans Franzen
We show that a semi-stable moduli space of representations of an acyclic quiver can be identified with two GIT quotients by reductive groups. One of a quiver Grassmannian of a proj…
Weight Spaces and Attracting Sets for Torus Actions on Quiver Moduli
Magdalena Boos, Hans Franzen
We study torus actions on moduli spaces of quivers. First we give a description of the weight spaces of the induced action of the tangent space to a torus-fixed point. Then we focu…
Torus-Equivariant Chow Rings of Quiver Moduli
Hans Franzen
We compute rational equivariant Chow rings with respect to a torus of quiver moduli spaces. We derive a presentation in terms of generators and relations, use torus localization to…
On the Cohomological Hall Algebra of the Kronecker Quiver
Hans Franzen, Markus Reineke
We give a short introduction to Cohomological Hall algebras of quivers and describe the semistable Cohomological Hall algebra of central slope of the Kronecker quiver in terms of g…
Rationality of Rigid Quiver Grassmannians
Hans Franzen
We show that any quiver Grassmannian associated with a rigid representation of a quiver is a rational variety using torus localization techniques.
Cell decompositions and algebraicity of cohomology for quiver Grassmannians
Giovanni Cerulli Irelli, Francesco Esposito, Hans Franzen +1
We show that the cohomology ring of a quiver Grassmannian asssociated with a rigid quiver representation has property (S): there is no odd cohomology and the cycle map is an isomor…