2014/03/23 by Kapranov, Mikhail, Schechtman, Vadim
#Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1403.5800
Let H be an arrangement of real hyperplanes in Rn. The complexification of H defines a natural stratification of Cn. We denote by Perv(Cn, H) the category of perverse sheaves on Cn smooth with respect to this stratification. We give a description of Perv(Cn, H) as the category of representations of an explicit quiver with relations, whose vertices correspond to real faces of H (of all dimensions). The relations are of monomial nature: they identify some pairs of paths in the quiver. They can be formulated in terms of the oriented matroid associated to H.