Mathematics – Geometric Topology
Scientific paper
2012-04-16
Mathematics
Geometric Topology
20 pages
Scientific paper
Let N be a closed irreducible 3-manifold such that its fundamental group is virtually RFRS. Using work of Ian Agol we will improve, for all but finitely many circle bundles M over N, the adjunction inequality for the minimal complexity of embedded surfaces. Appealing to a result of Dani Wise, this allows us to completely determine the minimal complexity of embedded surfaces in all but finitely many circle bundles over a large class of hyperbolic 3-manifolds.
Friedl Stefan
Vidussi Stefano
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