2009/03/31 by Thorsten Weist, Weist, Thorsten
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT
paper · pdf · doi:10.48550/arxiv.0903.5442
46 pages, the consideration of the torus action has been extended to the case of divisible dimension vectors, the paper has been reorganized
arxiv created 2011/05/27 · arxiv updated 2011/05/30
Torus fixed points of quiver moduli spaces are given by stable representations of the universal (abelian) covering quiver. As far as the Kronecker quiver is concerned they can be described by stable representations of certain bipartite quivers coming along with a stable colouring. By use of the glueing method it is possible to construct a huge class of such quivers implying a lower bound for the Euler characteristic. For certain roots it is even possible to construct all torus fixed points.