Non-faithful representations of surface groups into \(\mathrm{SL}(2,\mathbb C)\) which kill no simple closed curve

DOI10.1007/s10711-014-9984-0zbMath1334.57003arXiv1104.4492OpenAlexW1662856139MaRDI QIDQ2516425

Daryl Cooper, Jason Fox Manning

Publication date: 3 August 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4492

zbMATH Keywords

hyperbolic geometrysurface groupsimple loop conjecture

Mathematics Subject Classification ID

Related Items (3)

Surface group representations in \(\mathrm{SL}_2(\mathbb{C})\) with finite mapping class orbits ⋮ Incompressible solvable representations of surface groups ⋮ Topology of character varieties of abelian groups

Uses Software

• Mathematica

Cites Work

• Certifying incompressibility of noninjective surfaces with scl.
• The simple loop conjecture
• Varieties of group representations and splittings of 3-manifolds
• The symplectic nature of fundamental groups of surfaces
• Lifting representations to covering groups
• Topological components of spaces of representations
• Complex analytic geometry
• \(\pi_1\)-injective surfaces in graph manifolds
• Representation varieties of the fundamental groups of compact orientable surfaces
• Simple loop conjecture for limit groups
• Minimal Surfaces in Manifolds with S 1 Actions and the Simple Loop Conjecture for Seifert Fibered Spaces
• Deformation spaces associated to compact hyperbolic manifolds
• Singular Points of Complex Hypersurfaces. (AM-61)
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