Riley's conjecture on SL(2,R) representations of 2-bridge knots
نویسندگان
چکیده
منابع مشابه
Rigidity of representations in SO(4, 1) for Dehn fillings on 2-bridge knots
We prove that, for a hyperbolic two-bridge knot, infinitely many Dehn fillings are rigid in SO0(4, 1). Here rigidity means that any discrete and faithful representation in SO0(4, 1) is conjugate to the holonomy representation in SO0(3, 1). We also show local rigidity for almost all Dehn fillings.
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...
متن کاملUniqueness 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 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 ...
متن کاملThe Classification of Exceptional Dehn Surgeries on 2-bridge Knots
A nontrivial Dehn surgery on a hyperbolic knot K in S is exceptional if the resulting manifold is either reducible, or toroidal, or a Seifert fibered manifold whose orbifold is a sphere with at most three exceptional fibers, called a small Seifert fibered space. Thus an exceptional Dehn surgery is non-hyperbolic, and using a version of Thurston’s orbifold theorem proved by Boileau and Porti [BP...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2017
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s021821651740003x