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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).
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Cited in 24 Reviews
Cited in 257 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
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