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The word problem for 3-manifolds built from injective handlebodies

Research paper by J. Coffey

Indexed on: 30 Jan '07Published on: 30 Jan '07Published in: Mathematics - Geometric Topology



Abstract

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.