On Denominators of the Kontsevich Integral and the Universal Perturbative Invariant of 3-manifolds
نویسنده
چکیده
The integrality of the Kontsevich integral and perturbative invariants is discussed. We show that the denominator of the degree n part of the Kontsevich integral of any knot or link is a divisor of (2!3! . . . n!)(n + 1)!. We also show that the denominator of of the degree n part of the universal perturbative invariant of homology 3-spheres is not divisible by any prime greater than 2n + 1.
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تاریخ انتشار 1997