Heegaard splittings of knot complements
Darryl McCullough, University of Oklahoma

Heegaard splittings are a classical method for decomposing a 3-manifold into simpler pieces. While they have always been of interest, a number of recent advances have made them a very active research topic. We will discuss Heegaard splittings of 3-manifolds, and what they look like for complements of knots in the 3-sphere. Then we will present a theory of genus-2 Heegaard splittings of knot complements developed in joint work with Sangbum Cho, and give some of its applications.

Colloquium, Department of Mathematics, Rice University
February 14, 2008, HB 227, 4-5PM

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