23 citations · 52 across the 8 of their papers we have counts for
9 papers
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…
The bar automorphism in quantum groups and geometry of quiver representations
Philippe Caldero, Markus Reineke
Two geometric interpretations of the bar automorphism in the positive part of a quantized enveloping algebra are given. The first is in terms of numbers of rational points over fin…
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…
The use of geometric and quantum group techniques for wild quivers
Markus Reineke
This overview paper reviews several results relating the representation theory of quivers to algebraic geometry and quantum group theory. (Potential) applications to the study of t…