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The complex of end reductions of a contractible open 3-manifold: constructing 1-dimensional examples | | Robert Myers
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19 May 2004 | | Subject: | Geometric Topology | math.GT | | Abstract: | Given an irreducible contractible open 3-manifold W which is not homeomorphic to R^3, there is an associated simplicial complex S(W), the complex of end reductions of W. Whenever W covers a 3-manifold M one has that the fundamental group of M is isomorphic to a subgroup of the group Aut(S(W)) of simplicial automorphisms of W. In this paper we give a new method for constructing examples W with S(W) isomorphic to a triangulation of R. It follows that any 3-manifold M covered by W must have infinite cyclic fundamental group. We also give a complete isotopy classification of the end reductions of W. | | Source: | arXiv, math.GT/0405380 | | Services: | Forum | Review | PDF | Favorites | |
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