Knots with Braid Index Three Have Property-p
نویسندگان
چکیده
We prove that knots with braid index three in the 3-sphere satisfy the Property P conjecture.
منابع مشابه
A Property of the Skein Polynomial with an Application to Contact Geometry
We prove a finiteness property of the values of the skein polynomial of homogeneous knots which allows to establish large classes of such knots to have arbitrarily unsharp Bennequin inequality (for the Thurston-Bennequin invariant of any of their Legendrian embeddings in the standard contact structure of R3), and a give a short proof that there are only finitely many among these knots that have...
متن کاملar X iv : 0 80 2 . 10 72 v 2 [ m at h . G T ] 1 4 M ay 2 00 8 A note on closed 3 - braids ∗
This is a review article about knots and links of braid index 3. Its goal is to gather together, in one place, some of the tools that are special to knots and links of braid index 3, in a form that could be useful for those who have a need to calculate, and need to know precisely all the exceptional cases. Knots and links which are closed 3-braids are a very special class. Like 2-bridge knots a...
متن کامل2 00 8 A note on closed 3 - braids ∗
This is a review article about knots and links of braid index 3. Its goal is to gather together, in one place, some of the tools that are special to knots and links of braid index 3, in a form that could be useful for those who have a need to calculate, and need to know precisely all the exceptional cases. Knots and links which are closed 3-braids are a very special class. Like 2-bridge knots a...
متن کامل2 9 M ay 2 00 3 Property P for Knots admitting Certain Gabai Disks Oliver
We show that if a knot has a minimal spanning surface that admits certain Gabai disks, then this knot has Property P. As one of the applications we extend and simplify a recent result of Menasco and Zhang that closed 3-braid knots have Property P. Other applications are given.
متن کاملProperty P for Knots admitting Certain Gabai Disks
We show that if a knot has a minimal spanning surface that admits certain Gabai disks, then this knot has Property P. As one of the applications we extend and simplify a recent result of Menasco and Zhang that closed 3-braid knots have Property P. Other applications are given.
متن کامل