On Denominators of the Kontsevich Integral and the Universal Perturbative Invariant of 3-Manifolds

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dc.creatorLe, Thang T. Q.
dc.date1997-04-25
dc.date.accessioned2026-07-07T09:17:33Z
dc.date.available2026-07-07T09:17:33Z
dc.descriptionThe 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 $(2!3!... n!)^4(n+1)!$. 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 $2n+1$.
dc.description27 pages, LaTeX with graphics package
dc.identifierhttps://arxiv.org/abs/q-alg/9704017
dc.identifierhttp://arxiv.org/abs/q-alg/9704017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153705
dc.subjectQuantum Algebra
dc.subjectGeometric Topology
dc.titleOn Denominators of the Kontsevich Integral and the Universal Perturbative Invariant of 3-Manifolds
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