23 citations · 52 across the 8 of their papers we have counts for
6 papers · 1 filter
Localization in quiver moduli
Markus Reineke
The fixed point set under a natural torus action on projectivized moduli spaces of simple representations of quivers is described. As an application, the Euler characteristic of th…
Counting rational points of quiver moduli
Markus Reineke
It is shown that rational points over finite fields of moduli spaces of stable quiver representations are counted by polynomials with integer coefficients. These polynomials are co…
Framed quiver moduli, cohomology, and quantum groups
Markus Reineke
Framed quiver moduli parametrize stable pairs consisting of a quiver representation and a map to a fixed graded vector space. Geometric properties and explicit realizations of fram…
Cohomology of non-commutative Hilbert schemes
Markus Reineke
Non-commutative Hilbert schemes, introduced by M. V. Nori, parametrize left ideals of finite codimension in free algebras. More generally, parameter spaces of finite codimensional…
Canonical systems and non-commutative geometry
Lieven Le Bruyn, Markus Reineke
Inspired by ideas from non-commutative geometry, unions of moduli spaces of linear control systems are identified as open subsets of infinite Grassmannians.
Quivers, desingularizations and canonical bases
Markus Reineke
A class of desingularizations for orbit closures of representations of Dynkin quivers is constructed, which can be viewed as a graded analogue of the Springer resolution. A stratif…