Holonomy map fibers of ℂP1-structures in moduli space

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Abstract:

Let S be a closed oriented surface of genus g≥2. Fix an arbitrary non-elementary representation ρ\col\pi_1(S)\to \rm SL_2(\C) and consider all marked (complex) projective structures on S with holonomy ρ. We show that their underlying conformal structures are dense in the moduli space of S.

SEEK ID: https://publications.h-its.org/publications/997

DOI: 10.1112/jtopol/jtv013

Research Groups: Groups and Geometry

Publication type: Journal

Journal: Journal of Topology

Publisher: Wiley

Citation: J Topology 8(3):691-710

Date Published: 31st Aug 2015

URL: http://dx.doi.org/10.1112/jtopol/jtv013

Registered Mode: imported from a bibtex file

Authors: Shinpei Baba, Subhojoy Gupta

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Lukas Sauer

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Baba, S., & Gupta, S. (2015). Holonomy map fibers of ℂP¹-structures in moduli space. In Journal of Topology (Vol. 8, Issue 3, pp. 691–710). Wiley. https://doi.org/10.1112/jtopol/jtv013

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Created: 30th Jan 2020 at 10:29

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Holonomy map fibers of ℂP1-structures in moduli space

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