Mathematics – Geometric Topology
Scientific paper
2001-08-10
Mathematics
Geometric Topology
16 pages, 6 figures. For proceedings of the conference "Heegaard Splittings and Dehn surgeries of 3-manifolds", Kyoto Universi
Scientific paper
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.
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