Haken manifolds and representations of their fundamental groups in SL(2,\({\mathbb{C}})\)

DOI10.1016/0166-8641(88)90019-3zbMath0647.57007OpenAlexW1975120269MaRDI QIDQ1104597

Kimihiko Motegi

Publication date: 1988

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90019-3

zbMATH Keywords

bending constructionHaken manifolds whose fundamental groups have a finite number of representations in SL(2,\({bbfC})\)SL(2,\({bbfC})\)-character varieties

Mathematics Subject Classification ID

Related Items (13)

A class of knots with simple \(SU(2)\)-representations ⋮ Chern–Simons theory, surface separability, and volumes of 3-manifolds ⋮ Surgery obstructions and character varieties ⋮ Integer homology 3-spheres admit irreducible representations in \(\mathrm{SL}(2,{\mathbb C})\) ⋮ Representation variety of free or surface groups and Reidemeister torsion ⋮ Toroidal integer homology three‐spheres have irreducible SU(2)$SU(2)$‐representations ⋮ Finiteness of the image of the Reidemeister torsion of a splice ⋮ Character varieties of higher dimensional representations and splittings of 3-manifolds ⋮ Remarks on 𝑆𝑈(2)-simple knots and 𝑆𝑈(2)-cyclic 3-manifolds ⋮ Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds ⋮ Character varieties ⋮ A Note on Representation Variety of Abelian Groups and Reidemeister Torsion ⋮ Generalized Hopfian property, a minimal Haken manifold, and epimorphisms between 3-manifold groups

Cites Work

• Varieties of group representations and splittings of 3-manifolds
• Homotopy equivalences of 3-manifolds with boundaries
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