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The degree equality conjecture for almost positive knots
Let $K$ be an almost positive knot. Write $\Delta_K$ for its Alexander polynomial and $V_K$ for its Jones polynomial, with $\max\deg \Delta_K$ and $\min\deg V_K$ denoting the corre…
Conjectureopenalmost-positive-knots knot-polynomials knot-theoryarXiv posted 2 days ago
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Tagami's conjecture on property (P1) for almost positive knot diagrams
Tagami's conjecture. Any almost positive diagram of an almost positive knot satisfies $(P1)$ .
Conjectureopenalmost-positive-knots knot-theoryarXiv posted 2 days ago

The degree equality conjecture for almost positive knots