Hoste’s conjecture for the 2-bridge knots
نویسندگان
چکیده
منابع مشابه
Uniqueness of bridge surfaces for 2-bridge knots
Any 2-bridge knot in S has a bridge sphere from which any other bridge surface can be obtained by stabilization, meridional stabilization, perturbation and proper isotopy.
متن کاملThe Kauffman Polynomials of 2-bridge Knots
The 2-bridge knots (or links) are a family of knots with bridge number 2. A 2bridge knot (link) has at most 2 components. Except for the knot 85, the first 25 knots in the Rolfsen Knot Table are 2-bridge knots. A 2-bridge knot is also called a rational knot because it can be obtained as the numerator or denominator closure of a rational tangle. The rich mathematical aspects of 2-bridge knots ca...
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We prove Simon’s conjecture for fibered knots in S: a fibered knot group surjects at most finitely many other knot groups.
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In [1], R.M. Kashaev introduced certain invariants of oriented links motivated by his study of quantum dilogarithm functions. Since the classical dilogarithm functions are related to the hyperbolic volumes, he naturally expected that, for hyperbolic knots, the asymptotic behaviors of his invariants determine their volumes, which is in fact confirmed for a few hyperbolic knots by himself in [2]....
متن کاملThe Classification of Dehn Surgeries on 2-bridge Knots
We will determine whether a given surgery on a 2-bridge knot is reducible, toroidal, Seifert bered, or hyperbolic. In [Th1] Thurston showed that if K is a hyperbolic knot, then all but nitely many surgeries on K are hyperbolic. In particular, for the Figure 8 knot, it was shown that exactly 9 nontrivial surgeries are non-hyperbolic. Let Kp=q be a 2-bridge knot associated to the rational number ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2019
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/14262