Thinning genus two Heegaard spines in the 3-sphere
classification
🧮 math.GT
keywords
genusclosedcomplementedgegraphgraphshandlebodyheegaard
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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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