Combinatorial Dehn surgery on cubed and Haken 3-manifolds
Geometric Topology
2009-09-25 v1
Abstract
A combinatorial condition is obtained for when immersed or embedded incompressible surfaces in compact 3-manifolds with tori boundary components remain incompressible after Dehn surgery. A combinatorial characterisation of hierarchies is described. A new proof is given of the topological rigidity theorem of Hass and Scott for 3-manifolds containing immersed incompressible surfaces, as found in cubings of non-positive curvature.
Keywords
Cite
@article{arxiv.math/0008245,
title = {Combinatorial Dehn surgery on cubed and Haken 3-manifolds},
author = {Iain R. Aitchison and J. Hyam Rubinstein},
journal= {arXiv preprint arXiv:math/0008245},
year = {2009}
}
Comments
21 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper1.abs.html . Includes erratum added to the original, published 22 November 1999