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Unknotting number formula for a family of connected sums of 2-braid knots
Unknotting-number question. Is it true that
Problemopenbraid-knots knot-theory unknotting-numberarXiv posted 2 days ago
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The diagonal-knot equivalence conjecture with positive braid knots
Diagonal-knot equivalence conjecture. Diagonal knots are conjectured to be equivalent to positive braid knots.
Conjectureopenbraid-knots knot-floer-homology knot-theoryarXiv posted 2 days ago
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The positive braid surgery conjecture
Let $K$ be a non-trivial positive braid knot, and let $g(K)$ denote its genus. For a rational number $r$ , let the $r$ -framed Dehn surgery along $K$ be the resulting 3-manifold. Pos…
Conjectureopenbraid-knots dehn-surgery taut-foliationsarXiv posted 2 days ago
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The large-color R-matrix conjecture for fibered strongly quasi-positive braid knots
The fibered strongly quasi-positive braid-knot conjecture. One has
Conjectureopenbraid-knots knot-invariants q-seriesarXiv posted 2 days ago

Unknotting number formula for a family of connected sums of 2-braid knots