Spherical Tetrahedra and Invariants of 3-manifolds

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Motivated by the Turaev-Viro invariant of 3-manifolds, we construct a formal topological invariant of closed, oriented 3-manifolds involving spherical tetrahedra as an application of the asymptotic formula of 6j symbols for the Quantum Enveloping Algebra of sl(2). This invariant can be considered as a spherical version of a formal invariant of Ponzano-Regge and Korepanov defined via Euclidean tetrahedra.
18 pages, 3 figures

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Geometric Topology, 57M27

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http://salesiana.dossiersoluciones.com/handle/123456789/71528

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406228
 http://arxiv.org/abs/math/0406228

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arXiv