On Perturbative PSU(n) Invariants of Rational Homology 3-Spheres

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dc.creatorLe, Thang T. Q.
dc.date1998-02-06
dc.date1998-05-25
dc.date.accessioned2026-07-07T05:23:47Z
dc.date.available2026-07-07T05:23:47Z
dc.descriptionWe construct power series invariants of rational homology 3-spheres from quantum PSU(n)-invariants. The power series can be regarded as perturbative invariants corresponding to the contribution of the trivial connection in the hypothetical Witten's integral. This generalizes a result of Ohtsuki (the $n=2$ case) which led him to the definition of finite type invariants of 3-manifolds. The proof utilizes some symmetry properties of quantum invariants (of links) derived from the theory of affine Lie algebras and the theory of the Kontsevich integral.
dc.description36 Pages. Minor mistakes corrected. Main results slightly improved. Some parts substantially revised
dc.identifierhttps://arxiv.org/abs/math/9802032
dc.identifierhttp://arxiv.org/abs/math/9802032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76579
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25
dc.titleOn Perturbative PSU(n) Invariants of Rational Homology 3-Spheres
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