Small surfaces and Dehn filling

Mathematics – Geometric Topology

Scientific paper

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23 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper10.abs.html

Scientific paper

We give a summary of known results on the maximal distances between Dehn
fillings on a hyperbolic 3-manifold that yield 3-manifolds containing a
surface of non-negative Euler characteristic that is either essential or
Heegaard.

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