Boundary curves of surfaces with the 4-plane property
Geometric Topology
2014-11-11 v1
Abstract
Let M be an orientable and irreducible 3-manifold whose boundary is an incompressible torus. Suppose that M does not contain any closed nonperipheral embedded incompressible surfaces. We will show in this paper that the immersed surfaces in M with the 4-plane property can realize only finitely many boundary slopes. Moreover, we will show that only finitely many Dehn fillings of M can yield 3-manifolds with nonpositive cubings. This gives the first examples of hyperbolic 3-manifolds that cannot admit any nonpositive cubings.
Cite
@article{arxiv.math/0212111,
title = {Boundary curves of surfaces with the 4-plane property},
author = {Tao Li},
journal= {arXiv preprint arXiv:math/0212111},
year = {2014}
}
Comments
Published in Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper21.abs.html