arXiv:math/0601719 Abstract

arXiv:math/0601719 [math.GT]Abstract References Reviews Resources

The word problem for 3-manifolds built from injective handlebodies

Published 2006-01-30, updated 2007-01-30Version 2

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.

Comments: 11 pages, 8 figures

Categories: math.GT

Keywords: injective handlebodies, two-bridge knots, solvable word problem, fundamental group, non-seifert fibered examples

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