2013/05/12 by Simon, Gabi Ben, Burger, Marc, Hartnick, Tobias +2
#Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
paper · doi:10.48550/arxiv.1305.2620
We introduce and study a new class of representations of surface groups into Lie groups of Hermitian type, called \em weakly maximal representations. We prove that weakly maximal representations are discrete and injective and we describe the structure of the Zariski closure of their image. Furthermore we prove that the set of weakly maximal representations is a closed subset of the representation variety and describe its relation to other geometrically significant subsets of the representation variety.