Surface subgroups and handlebody attachment

Details Surface subgroups and handlebody attachment Surface subgroups and handlebody attachment

2004-03-03

arxiv.org/abs/math/0403077v3

Geom. Topol. 10 (2006) 557-591

Mathematics

Geometric Topology

This is the version published by Geometry & Topology on 4 May 2006

Scientific paper

10.2140/gt.2006.10.557

The main theorem of this paper generalizes recent results in Dehn surgery to the case of handlebody attachment. We consider attaching handlebodies and solid tori to the boundary of an irreducible, boundary-irreducible, atoroidal and acylindrical 3-manifold. We show that for a large class of homeomorphisms attaching these handlebodies, the fundamental group of the resulting manifold contains the fundamental group of a closed surface of genus at least two.

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