The word problem for 3-manifolds built from injective handlebodies

J. Coffey

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arXiv · math/0601719

The word problem for 3-manifolds built from injective handlebodies

J. Coffey

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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.

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BibTeX RIS

J. Coffey. 2007-01-30. The word problem for 3-manifolds built from injective handlebodies. https://arxiv.org/abs/math/0601719

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