Laplace transform and universal sl(2) invariants

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dc.creatorBeliakova, Anna
dc.creatorBlanchet, Christian
dc.creatorLe, Thang
dc.date2005-09-18
dc.date.accessioned2026-07-07T06:18:09Z
dc.date.available2026-07-07T06:18:09Z
dc.descriptionWe develop a Laplace transform method for constructing universal invariants of 3-manifolds. As an application, we recover Habiro's theory of integer homology 3-spheres and extend it to some classes of rational homology 3-spheres with cyclic homology. If |H_1|=2, we give explicit formulas for universal invariants dominating the sl(2) and SO(3) Witten--Reshetikhin--Turaev invariants, as well as their spin and cohomological refinements at all roots of unity. New results on the Ohtsuki series and the integrality of quantum invariants are the main applications of our construction.
dc.description21 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0509394
dc.identifierhttp://arxiv.org/abs/math/0509394
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94639
dc.subjectQuantum Algebra
dc.subjectCommutative Algebra
dc.titleLaplace transform and universal sl(2) invariants
dc.typetext

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