3 papers
math.GT2023
Chern-Simons theory and cohomological invariants of representation varieties
Nicolas Tholozan
We prove a general local rigidity theorem for pull-backs of homogeneous forms on reductive symmetric spaces under representations of discrete groups. One application of the theorem…
math.GT2023
Fiber bundles associated with Anosov representations
Daniele Alessandrini, Sara Maloni, Nicolas Tholozan +1
Anosov representations of a hyperbolic group into a semisimple Lie group are known to admit cocompact domains of discontinuity in flag varieties , endowing the com…
math.GR2022
Residually finite non linear hyperbolic groups
Nicolas Tholozan, Konstantinos Tsouvalas
We exhibit the first examples of residually finite non-linear Gromov hyperbolic groups. Our examples are constructed as amalgamated products of torsion-free cocompact lattices in t…