Shinpei Baba

activity

20242026

collaborators

3 papers

math.GT2026

Bending TeichmÃ¼ller spaces and character varieties

Shinpei Baba

We consider the mapping $b_{L} : T \to I ¨ $ from the Fricke-TeichmÃ¼ller space $T$ into the $PSL_{2} C$ -character variety $I ¨ $ of the surface, ob…

math.GT2025

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

Shinpei Baba

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

math.GT2024

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 $C P^{1}$ …

Bending TeichmÃ¼ller spaces and character varieties

Intersection of holonomy varieties of CP1-structures

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

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