Quantum invariants of 3-manifolds: integrality, splitting, and perturbative expansion

Simple item page
dc.creatorLe, Thang T. Q.
dc.date2000-04-15
dc.date.accessioned2026-07-07T04:34:45Z
dc.date.available2026-07-07T04:34:45Z
dc.descriptionWe consider quantum invariants of 3-manifolds associated with arbitrary simple Lie algebras. Using the symmetry principle we show how to decompose the quantum invariant as the product of two invariants, one of them is the invariant corresponding to the projective group. We then show that the projective quantum invariant is always an algebraic integer, if the quantum parameter is a prime root of unity. We also show that the projective quantum invariant of rational homology 3-spheres has a perturbative expansion a la Ohtsuki. The presentation of the theory of quantum 3-manifold is self-contained.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0004099
dc.identifierhttp://arxiv.org/abs/math/0004099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59029
dc.subjectQuantum Algebra
dc.subjectGeometric Topology
dc.subject57M10
dc.titleQuantum invariants of 3-manifolds: integrality, splitting, and perturbative expansion
dc.typetext

Files

Collections

arXiv