Ishikawa--Shimokawa conjecture on finite boundary slopes
Ishikawa--Shimokawa conjecture on finite boundary slopes
Let be a knot in , and let be a finite boundary slope for .
Ishikawa--Shimokawa conjecture. Then
This follows immediately from the boundary slope diameter conjecture because , the slope of a Seifert surface, is always among the boundary slopes. It is attributed in the paper to Ishikawa and Shimokawa; the supplied text does not indicate that it has been resolved.
Sources & referencesView supporting material
Primary source
Thomas W. Mattman, Gabriel Maybrun and Kristin Robinson, “Boundary slope diameter and crossing number of 2-bridge knots”, arXiv:math/0510496 (2007).
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