On boundary maps of Anosov representations of a surface group to SL(3,R)

2016/10/13 by Kim, Sungwoon, Kuessner, Thilo
#20C99 #57M50 #FOS: Mathematics #Geometric Topology (math.GT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1610.04016

Abstract

We prove that Anosov representations from a surface group to SL(3,R) are uniquely determined by their boundary maps if and only if they do not factor over a completely reducible representation. Furthermore we discuss representations not distinguished by their boundary maps, and we give a lower bound for the number of mapping class orbits of components of the space of Anosov representations.

Related

• Simple Anosov representations of closed surface groups
• Topological restrictions on relatively Anosov representations
• Certifying Anosov representations
• Anosov deformations of Barbot representations
• Anosov triangle reflection groups in SL(3,R)