2π-Grafting and complex projective structures with generic holonomy

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Abstract:

Let S be an oriented closed surface of genus at least two. We show that, given a generic representation }}{\backslashrho: \backslashpi_1(S) \backslashto {\backslashrm PSL} (2, \backslashmathbb{C})}}}ρ:\pi1(S)\textrightarrowPSL(2,C)in the character variety, (}}{2\backslashpi}}}2\pi-)grafting produces all projective structures on S with holonomy }}{\backslashrho}}}ρ.

SEEK ID: https://publications.h-its.org/publications/998

DOI: 10.1007/s00039-017-0424-9

Research Groups: Groups and Geometry

Publication type: Journal

Journal: Geometric and Functional Analysis

Citation: Geom. Funct. Anal. 27(5):1017-1069

Date Published: 1st Oct 2017

URL: https://doi.org/10.1007/s00039-017-0424-9

Registered Mode: imported from a bibtex file

Author: Shinpei Baba

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Lukas Sauer

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Baba, S. (2017). 2 $${\pi}$$ π -Grafting and complex projective structures with generic holonomy. In Geometric and Functional Analysis (Vol. 27, Issue 5, pp. 1017–1069). Springer Science and Business Media LLC. https://doi.org/10.1007/s00039-017-0424-9

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Created: 30th Jan 2020 at 10:29

Last updated: 5th Mar 2024 at 21:24

2π-Grafting and complex projective structures with generic holonomy

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