منابع مشابه
Integral Non-hyperbolike Surgeries
It is shown that a hyperbolic knot in the 3-sphere admits at most nine integral surgeries yielding 3-manifolds which are reducible or whose fundamental groups are not infinite word-hyperbolic.
متن کاملNon-integral Toroidal Dehn Surgeries
If we perform a non-trivial Dehn surgery on a hyperbolic knot in the 3-sphere, the result is usually a hyperbolic 3-manifold. However, there are exceptions: there are hyperbolic knots with surgeries that give lens spaces [1], small Seifert fiber spaces [2], [5], [7], [20], and toroidal manifolds, that is, manifolds containing (embedded) incompressible tori [6], [7]. In particular, Eudave-Muñoz ...
متن کاملAll Exceptional Surgeries on Alternating Knots Are Integral Surgeries
We show that all exceptional surgeries on hyperbolic alternating knots in the 3-sphere are integral surgeries.
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Suppose that a hyperbolic knot in S admits a finite surgery, Boyer and Zhang proved that the surgery slope must be either integral or halfintegral, and they conjectured that the latter case does not happen. Using the correction terms in Heegaard Floer homology, we prove that if a hyperbolic knot in S admits a half-integral finite surgery, then the knot must have the same knot Floer homology as ...
متن کاملCauchy non-integral formulas
We study certain generalized Cauchy integral formulas for gradients of solutions to second order divergence form elliptic systems, which appeared in recent work by P. Auscher and A. Rosén. These are constructed through functional calculus and are in general beyond the scope of singular integrals. More precisely, we establish such Cauchy formulas for solutions u with gradient in weighted L2(R 1+...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2008
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216508006154