Combinatorial Dehn surgery on cubed and Haken 3-manifolds

Details Combinatorial Dehn surgery on cubed and Haken 3-manifolds Combinatorial Dehn surgery on cubed and Haken 3-manifolds

2000-08-30

arxiv.org/abs/math/0008245v1

Geom. Topol. Monogr. 2 (1999), 1-21

Mathematics

Geometric Topology

21 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper1.abs.html . Includes erratum adde

Scientific paper

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.

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