Geometry & Topology Monographs 2 (1999), Proceedings of the Kirbyfest, paper no. 10, pages 177-199.

Small surfaces and Dehn filling

Cameron McA Gordon

Abstract. 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.

Keywords. Dehn filling, hyperbolic 3-manifold, small surface

AMS subject classification. Primary: 57M25. Secondary: 57M50.

E-print: arXiv:math.GT/9911251

Submitted: 30 August 1999. (Revised: 14 October 1999.) Published: 18 November 1999.

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Cameron McA Gordon
Department of Mathematics, The University of Texas at Austin
Austin, TX 78712-1082, USA

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