MathDBThe strong Neuwirth conjecture for prime knots
The strong Neuwirth conjecture for prime knots
Let be a prime knot other than a torus knot. An essential non-orientable spanning surface is a non-orientable spanning surface for that is essential in its exterior.
Strong Neuwirth conjecture. There exists an essential non-orientable spanning surface for .
The source explicitly notes that Dunfield found a counterexample to this conjecture, so the claim is refuted.
Sources & referencesView supporting material
Primary source
Makoto Ozawa, “Knots and surfaces”, arXiv:1603.09039 (2017).
Additional references
2 papers in this index state this conjecture (2011–2016). The statement above is taken from the most recent of them; the others are arXiv:1103.2576.
Progress summary
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