Shinpei Baba

activity

20192025

collaborators

6 papers

math.GT2025

Intersection of holonomy varieties of $C P^{1}$ -structures

Shinpei Baba

Let $Σ$ be a closed orientable surface of genus at least two, and let $X, Y$ be distinct marked Riemann surface structures on $Σ$ , possibly with opposite orientations. In this pape…

math.GT2022

Bending Teichmüller spaces and character varieties

Shinpei Baba

We consider the mapping $b_{L} : T \to χ$ from the Fricke-Teichmüller space $T$ into the $PSL_{2} C$ -character variety $χ$ of the surface, obtai…

math.GT2021

Realisation of bending measured laminations by Kleinian surface groups

Shinpei Baba, Ken'ichi Ohshika

For geometrically finite Kleinian surface groups, Bonahon and Otal proved the existence part, and partly the uniqueness part of the bending lamination conjecture. In this paper, we…

math.GT2021

Bers' simultaneous uniformization and the intersection of Poincare holonomy varieties

Shinpei Baba

We consider the space of ordered pairs of distinct $C P^{1}$ -structures on Riemann surfaces (of any orientations) which have identical holonomy, so that the quasi-Fuchsian sp…

math.GT2019

Neck-Pinching of $C P^{1}$ -structures in the $P S L (2, C)$ -character variety

Shinpei Baba

We characterize a certain neck-pinching degeneration of (marked) $C P^{1}$ - structures on a closed oriented surface S of genus at least two. Namely, we consider a path $C_{t}$ of $C P^{1}$ …

math.GT2019

On Thurston's parametrization of $C P^{1}$ -structures

Shinpei Baba

Thurston related $C P^{1}$ -structures (complex projective structures) and equivariant pleated surfaces in the hyperbolic-three space $H^{3}$ , in order to give a…

Intersection of holonomy varieties of CP1-structures

Bending Teichmüller spaces and character varieties

Realisation of bending measured laminations by Kleinian surface groups

Bers' simultaneous uniformization and the intersection of Poincare holonomy varieties

Neck-Pinching of CP1-structures in the PSL(2,C)-character variety

On Thurston's parametrization of CP1-structures

Intersection of holonomy varieties of $C P^{1}$ -structures

Neck-Pinching of $C P^{1}$ -structures in the $P S L (2, C)$ -character variety

On Thurston's parametrization of $C P^{1}$ -structures