On the characterising slopes of hyperbolic knots
نویسندگان
چکیده
منابع مشابه
All integral slopes can be Seifert fibered slopes for hyperbolic knots
Which slopes can or cannot appear as Seifert fibered slopes for hyperbolic knots in the 3-sphere S? It is conjectured that if r -surgery on a hyperbolic knot in S yields a Seifert fiber space, then r is an integer. We show that for each integer n ∈ Z, there exists a tunnel number one, hyperbolic knot Kn in S 3 such that n-surgery on Kn produces a small Seifert fiber space. AMS Classification 57...
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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]....
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2019
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2019.v26.n5.a12