The word problem for 3-manifolds built from injective handlebodies

Details The word problem for 3-manifolds built from injective handlebodies The word problem for 3-manifolds built from injective handlebodies

2006-01-30

arxiv.org/abs/math/0601719v2

Mathematics

Geometric Topology

11 pages, 8 figures

Scientific paper

This paper gives a proof that the fundamental group of a class of closed orientable 3-manifolds constructed from three injective handlebodies has a solvable word problem. This is done by giving an algorithm to decide if a closed curve in the manifold is null-homotopic. Non-Haken and non-Seifert fibered examples are constructed by performing Dehn surgery on a class of two-bridge knots.

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