Shinpei Baba

activity

20072025

most cited2 π-grafting and complex projective structures, I

11 citations · 18 across the 11 of their papers we have counts for

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11 papers · 1 filter

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★ 2 cited

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…

math.GT2014★ 4 cited

Holonomy map fibers of $C P^{1}$ -structures in moduli space

Shinpei Baba, Subhojoy Gupta

Let $S$ be a closed oriented surface of genus $g \geq 2$ . Fix an arbitrary non-elementary representation $ρ : π_{1} (S) \to SL_{2} (C)$ and consider all marked (complex)…

math.GT2013★ 1 cited

2π-grafting and complex projective structures with generic holonomy

Shinpei Baba

Let S be an oriented closed surface of genus at least two. We show that, given a generic representation in the PSL(2,C)-character variety of S, (2π-)graftings produce all projectiv…

math.GT2010★ 11 cited

2 π-grafting and complex projective structures, I

Shinpei Baba

Let $S$ be a closed oriented surface of genus at least two. Gallo, Kapovich, and Marden asked if 2π-graftings produce all projective structures on $S$ with arbitrarily fixed holono…

math.GT2009

Complex projective structures with Schottky holonomy

Shinpei Baba

A Schottky group in PSL(2, C) induces an open hyperbolic handlebody and its ideal boundary is a closed orientable surface S whose genus is equal to the rank of the Schottky group.…

math.GT2007

A Schottky decomposition theorem for complex projective structures

Shinpei Baba

Let S be a closed orientable surface of genus at least two, and let C be an arbitrary (complex) projective structure on S. We show that there is a decomposition of S into pairs of…

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

Holonomy map fibers of CP1-structures in moduli space

2π-grafting and complex projective structures with generic holonomy

2 π-grafting and complex projective structures, I

Complex projective structures with Schottky holonomy

A Schottky decomposition theorem for complex projective 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

Holonomy map fibers of $C P^{1}$ -structures in moduli space