2011/08/10 by Takahisa Shiina, Shiina, Takahisa
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Advanced Algebra and Geometry
paper · pdf · doi:10.48550/arxiv.1108.2099
The purpose of this article is to study the space of stability conditions \stab(Pn) on the bounded derived category \Db(Pn) of finite dimensional representations of a quiver Pn with two vertices and n parallel arrows. There is a local homeomorphism \z:\stab(Pn)→\C2. We show that, when the number of arrows is one or two, the map is a covering map if we restrict it to the complement of a line arrangement. When the number of arrows is greater than two we need to remove uncountably many lines to obtain a covering map.