OPTIMISTIC LIMITS OF THE COLORED JONES POLYNOMIALS
نویسندگان
چکیده
منابع مشابه
Some Limits of the Colored Jones Polynomials of the Figure-eight Knot
We will study the asymptotic behaviors of the colored Jones poly-nomials of the figure-eight knot. In particular we will show that for certain limits we obtain the volumes of the cone manifolds with singularities along the knot.
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Garoufalidis conjectured a relation between the boundary slopes of a knot and its colored Jones polynomials. More precisely, certain boundary slopes are detected by the sequence of degrees of the colored Jones polynomials. We verify this conjecture for adequate knots, a class that vastly generalizes that of alternating knots.
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Garoufalidis conjectured a relation between the boundary slopes of a knot and its colored Jones polynomials. According to the conjecture, certain boundary slopes are detected by the sequence of degrees of the colored Jones polynomials. We verify this conjecture for adequate knots, a class that vastly generalizes that of alternating knots.
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2013
ISSN: 0304-9914
DOI: 10.4134/jkms.2013.50.3.641