Juan Luis Dur'an Batalla

collaborators

2 papers

math.GT2021

Connected components of Isom( $H^{3}$ )-representations of non-orientable surfaces

Juan Luis Durán Batalla

Let $N_{k}$ denote the closed non-orientable surface of genus $k$ . In this paper we study the behaviour of the `square map' from the group of isometries of hyperbolic 3-space to the…

math.GT2020

The deformation space of non-orientable hyperbolic 3-manifolds

Juan Luis Durán Batalla, Joan Porti

We consider non-orientable hyperbolic 3-manifolds of finite volume $M^{3}$ . When $M^{3}$ has an ideal triangulation $Δ$ , we compute the deformation space of the pair $(M^{3}, Δ)$ (its Ne…

Connected components of Isom(H3)-representations of non-orientable surfaces

The deformation space of non-orientable hyperbolic 3-manifolds

Connected components of Isom( $H^{3}$ )-representations of non-orientable surfaces