The Trivial Connection Contribution to Witten's Invariant and Finite Type Invariants of Rational Homology Spheres

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dc.creatorRozansky, L.
dc.date1995-03-21
dc.date1995-06-02
dc.date.accessioned2026-07-07T09:04:50Z
dc.date.available2026-07-07T09:04:50Z
dc.descriptionWe derive an analog of Melvin-Morton bound on the power series expansion of Jones polynomial of algebraically split links and boundary links. This allows us to produce a simple formula for the trivial connection contribution to Witten's invariant of rational homology spheres. We show that the n-th term in the 1/K expansion of the logarithm of this contribution is a finite type invariant of Ohtsuki order 3n and of at most Garoufalidis order n. This result is a manifold counterpart of the statement that n-th derivative of the Jones polynomial is Vassiliev's invariant of order n.
dc.description38 pages, 6 figures, LaTeX. Some results about loop corrections to invariants of manifolds as Vassiliev invariants of knots are added to subsection 2.2
dc.identifierhttps://arxiv.org/abs/q-alg/9503011
dc.identifierhttp://arxiv.org/abs/q-alg/9503011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149525
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleThe Trivial Connection Contribution to Witten's Invariant and Finite Type Invariants of Rational Homology Spheres
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