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math.GT2000★ 6 cited
Positive knots and knots with braid index three have property_p
William W. Menasco, Xingru Zhang
We prove that positive knots and knots with braid index three in the 3-sphere satisfy the Property P conjecture.
math.GT2000★ 28 cited
On iterated torus knots and transversal knots
William W Menasco
A knot type is exchange reducible if an arbitrary closed n-braid representative can be changed to a closed braid of minimum braid index by a finite sequence of braid isotopies, exc…