3-manifolds built from injective handlebodies
几何拓扑
2018-03-16 v2
摘要
This paper looks at a class of closed orientable 3-manifolds constructed from a gluing of three handlebodies, such that the inclusion of each handlebody is -injective. This construction is the generalisation to handlebodies of the condition for gluing three solid tori to produce non-Haken Seifert fibered 3-manifolds with infinite fundamental group. It is shown that there is an efficient algorithm to decide if a gluing of handlebodies meets the disk-condition. Also an outline for the construction of the characteristic variety (JSJ decomposition) in such manifolds is given. Some non-Haken and atoroidal examples are given.
引用
@article{arxiv.math/0601718,
title = {3-manifolds built from injective handlebodies},
author = {J. Coffey and H. Rubinstein},
journal= {arXiv preprint arXiv:math/0601718},
year = {2018}
}
备注
36 pages, 24 figures. Mainly gramatical changes and two figures added