18 citations · 85 across the 18 of their papers we have counts for
21 papers
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…
Projective Structures with (Quasi-)Hitchin Holonomy
Daniele Alessandrini, Colin Davalo, Qiongling Li
In this paper we investigate the properties of the real and complex projective structures associated to Hitchin and quasi-Hitchin representations that were originally constructed u…
Symplectic groups over noncommutative algebras
Daniele Alessandrini, Arkady Berenstein, Vladimir Retakh +2
We introduce the symplectic group over a noncommutative algebra with an anti-involution . We realize several classical Lie groups as ove…
Generalized stretch lines for surfaces with boundary
Daniele Alessandrini, Valentina Disarlo
In 1986 William P. Thurston introduced the celebrated (asymmetric) Lipschitz distance on the Teichmueller space of a (closed or punctured) surface. In this paper we extend his work…
Noncommutative coordinates for symplectic representations
Daniele Alessandrini, Olivier Guichard, Eugen Rogozinnikov +1
We introduce coordinates on the spaces of framed and decorated representations of the fundamental group of a surface with nonempty boundary into the symplectic group $Sp(2n,\mathbf…
Hitchin components for orbifolds
Daniele Alessandrini, Gye-Seon Lee, Florent Schaffhauser
We extend the notion of Hitchin component from surface groups to orbifold groups and prove that this gives new examples of higher Teichmüller spaces. We show that the Hitchin compo…