Algorithmically detecting the bridge number of hyperbolic knots

Details Algorithmically detecting the bridge number of hyperbolic knots Algorithmically detecting the bridge number of hyperbolic knots

2007-10-05

arxiv.org/abs/0710.1262v2

Mathematics

Geometric Topology

42 pages, 23 figures; v2 contains a rewritten introduction and updated references

Scientific paper

We exhibit an algorithm to determine the bridge number of a hyperbolic knot
in the 3-sphere. The proof uses adaptations of almost normal surface theory for
compact surfaces with boundary in ideally triangulated knot exteriors.

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