Complex hyperbolic manifolds homotopy equivalent to a Riemann surface

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Topological invariants of Anosov representations (2009, methodology): “This idea of using two different embeddings of SL(2,R) to construct amalgamated representations was previously used in the paper [21] to construct the representations π1(Σ) → PU(2, 1) of every possible Toledo number (see, in particular, the concept of ‘hybrid surfaces’ [21, Section 2.”
Maximal Representations of Surface Groups: Symplectic Anosov Structures (2005, unknown): “epresentation with Zariski dense image in G (Theorem 4.7); such a representation is by construction maximal. For examples of discrete representations into SU(1,n) with prescribed Toledo invariant see [35]. These results are proven in greater generality in [15], where for the representation of the fu”
Locally Homogeneous Geometric Manifolds (2010, background): “geometry naturally admits such structures, but by [71], closed 3-manifolds with Euclidean and solvgeometry do not admit such structures. Twisted S1-bundles admit many such structures (see for example [88]), but recently Ananin, Grossiand Gusevskii [4, 5] haveconstructed surprising examples of spheri”
Ideal triangle groups, dented tori, and numerical analysis (2001, background): “(For a representative sample of such work, see [FZ], [ GKL ], [GuP], [KR], [Tol].)”