Incompressible surfaces in handlebodies and boundary reducible 3-manifolds
Geometric Topology
2015-03-13 v2
Abstract
We study the existence of incompressible embeddings of surfaces into the genus two handlebody. We show that for every compact surface with boundary, orientable or not, there is an incompressible embedding of the surface into the genus two handlebody. In the orientable case the embedding can be either separating or non-separating. We also consider the case in which the genus two handlebody is replaced by an orientable 3-manifold with a compressible boundary component of genus greater than or equal to two.
Keywords
Cite
@article{arxiv.0911.0207,
title = {Incompressible surfaces in handlebodies and boundary reducible 3-manifolds},
author = {João Miguel Nogueira and Henry Segerman},
journal= {arXiv preprint arXiv:0911.0207},
year = {2015}
}
Comments
33 pages, 14 figures