4 papers
Nilpotent quiver varieties with multiplicities and symmetrisable crystals
Victoria Hoskins, Joshua Jackson, Tanguy Vernet
We construct analogues of Nakajima's nilpotent quiver varieties for quivers with multiplicities, by developing new stability conditions for framed nilpotent quiver representations…
Moduli spaces of representations of quivers with multiplicities via non-reductive GIT
Victoria Hoskins, Joshua Jackson, Tanguy Vernet
We construct new moduli spaces of quiver representations with multiplicities, i.e. over rings of truncated power series. This includes moduli of framed representations and analogue…
Rational singularities for moment maps of totally negative quivers
Tanguy Vernet
We prove that the zero-fiber of the moment map of a totally negative quiver has rational singularities. Our proof consists in generalizing dimension bounds on jet spaces of this fi…
Counting representations of quivers with multiplicities
Tanguy Vernet
In this thesis, we study counts of quiver representations over finite rings of truncated power series. We prove a plethystic formula relating counts of quiver representations over…