Algorithmically detecting the bridge number of hyperbolic knots

Abstract

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.

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

References in corpus (1)

• Meridional Almost Normal Surfaces in Knot Complements

Cited by in corpus (4)

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