18 citations · 68 across the 18 of their papers we have counts for
8 papers · 1 filter
-pleated surfaces and their shear-bend coordinates
Sara Maloni, Giuseppe Martone, Filippo Mazzoli +1
In this article, we single out representations of surface groups into which generalize the well-studied family of pleated surfaces into $\mathsf{PSL}_2…
Weakly positive and directed Anosov representations
Sungwoon Kim, Ser Peow Tan, Tengren Zhang
Given a finitely generated group , a directed graph , and a map , we introduce the notion of an -directed Anosov representation. This is a weakening of the no…
Affine actions with Hitchin linear part
Jeffrey Danciger, Tengren Zhang
Properly discontinuous actions of a surface group by affine automorphisms of were shown to exist by Danciger-Gueritaud-Kassel. We show, however, that if the linear pa…
Deforming convex real projective structures
Anna Wienhard, Tengren Zhang
Let S be a closed, connected, orientable surface of genus at least 2, and let C(S) denote the deformation space of convex real projective structures S. In this article, we introduc…
Positively ratioed representations
Giuseppe Martone, Tengren Zhang
Let S be a closed orientable surface of genus at least 2 and let G be a semisimple real algebraic group of non-compact type. We consider a class of representations from the fundame…
Collar lemma for Hitchin representations
Gye-Seon Lee, Tengren Zhang
In this article, we prove an analog of the classical collar lemma in the setting of Hitchin representations.
Degeneration of Hitchin representations along internal sequences
Tengren Zhang
Using the work of Bonahon-Dreyer and Fock-Goncharov, one can construct a real-analytic parameterization for the PSL(n,R) Hitchin component of a surface S, that is explicitly analog…
The degeneration of convex RP^2 structures on surfaces
Tengren Zhang
Let M be a compact surface of negative Euler characteristic and let C(M) be the deformation space of convex real projective structures on M. For every choice of pants decomposition…