Thinning genus two Heegaard spines in the 3-sphere

Details Thinning genus two Heegaard spines in the 3-sphere Thinning genus two Heegaard spines in the 3-sphere

2001-11-08

arxiv.org/abs/math/0111099v1

Mathematics

Geometric Topology

26 pages, 15 figures

Scientific paper

We study trivalent graphs in $S^{3}$ whose closed complement is a genus two
handlebody. We show that such a graph, when put in thin position, has a simple
(i. e. non-loop) level edge.

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