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Kähler groups, quasi-projective groups, and 3-manifold groups

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: S. Friedl, A.I. Suciu

Editorial: Journal of the London Mathematical Society, 89, p.151-168, 2014.

Rezumat:

We prove two results relating 3-manifold groups to fundamental groups occurring in complex geometry. Let N be a compact, connected, orientable 3-manifold. If N has non-empty, toroidal boundary, and pi_1(N) is a Kähler group, then N is the product of a torus with an interval. On the other hand, if N has either empty or toroidal boundary, and pi_1(N) is a quasi-projective group, then all the prime components of N are graph manifolds.

Cuvinte cheie: 3-manifold, graph manifold, Kähler manifold, quasi-projective variety, fundamental group, Alexander polynomial, characteristic varieties, Thurston norm

URL: http://dx.doi.org/10.1112/jlms/jdt051