Culler, Marc; Shalen, Peter B. Varieties of group representations and splittings of 3-manifolds. (English) Zbl 0529.57005 Ann. Math. (2) 117, 109-146 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 25 ReviewsCited in 259 Documents MSC: 57N10 Topology of general \(3\)-manifolds (MSC2010) 57M40 Characterizations of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010) 57M05 Fundamental group, presentations, free differential calculus 20C07 Group rings of infinite groups and their modules (group-theoretic aspects) 20F34 Fundamental groups and their automorphisms (group-theoretic aspects) 51M10 Hyperbolic and elliptic geometries (general) and generalizations 57M12 Low-dimensional topology of special (e.g., branched) coverings Keywords:splittings of 3-manifolds; hyperbolic geometry; affine algebraic set; incompressible surfaces in sufficiently large 3-manifolds; fundamental group of graph of groups; regular covering space of closed orientable 3- manifold branched over link; ramification index; characters of representations of fundamental group in SL(2,C); splittings of fundamental group; generalized Smith conjecture; finite group of diffeomorphisms of homotopy 3-sphere; Seifert fibered space × Cite Format Result Cite Review PDF Full Text: DOI