Strong Integrality of Quantum Invariants of 3-manifolds

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dc.creatorLe, Thang T. Q.
dc.date2005-12-19
dc.date2006-01-26
dc.date.accessioned2026-07-07T06:55:30Z
dc.date.available2026-07-07T06:55:30Z
dc.descriptionWe prove that the quantum SO(3)-invariant of an arbitrary 3-manifold $M$ is always an algebraic integer, if the order of the quantum parameter is co-prime with the order of the torsion part of $H_1(M,\BZ)$. An even stronger integrality, known as cyclotomic integrality, was established by Habiro for integral homology 3-spheres. Here we generalize Habiro's result to all rational homology 3-spheres.
dc.description19 pages. Minor typos corrected
dc.identifierhttps://arxiv.org/abs/math/0512433
dc.identifierhttp://arxiv.org/abs/math/0512433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106298
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M25
dc.titleStrong Integrality of Quantum Invariants of 3-manifolds
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