The Goda-Teragaito conjecture: an overview
Abstract
Description
In math.GT/0106017 it was shown that thin position on Heegaard spines can be a useful tool for analyzing the topology of knots in 3-space. The proof there (specifically, of the Goda-Teragaito conjecture) requires masses of technical detail; it is easy to lose track of the underlying ideas. The present paper gives an overview of the argument, stripped of technical detail and emphasizing the mathematical background that seems naturally to motivate the proof.
16 pages, 6 figures. For proceedings of the conference "Heegaard Splittings and Dehn surgeries of 3-manifolds", Kyoto University Research Institute for Mathematical Sciences, June 2001
16 pages, 6 figures. For proceedings of the conference "Heegaard Splittings and Dehn surgeries of 3-manifolds", Kyoto University Research Institute for Mathematical Sciences, June 2001