The word problem for 3-manifolds built from injective handlebodies
Geometric Topology
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0601719,
title = {The word problem for 3-manifolds built from injective handlebodies},
author = {J. Coffey},
journal= {arXiv preprint arXiv:math/0601719},
year = {2007}
}
Comments
11 pages, 8 figures