The fibered-knot leading-term conjecture for
The fibered-knot leading-term conjecture for
Let be a fibered knot, let be its genus, let be its Hopf invariant, and let have leading term determined by the exponent . Fibered-knot leading-term conjecture. The knot is nice and
so that
This packages the conjectured characterization of fibered knots with the predicted leading behavior of their invariant. It is proved only in the classes covered by the preceding theorems and is open in general.
Sources & referencesView supporting material
Primary source
Paul Orland, Lara San Martín Suárez, Toby Saunders-A'Court and Josef Svoboda, “Quantum Invariants and Fiberedness”, arXiv:2512.23700 (2026).
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