Spherical Tetrahedra and Invariants of 3-manifolds
Geometric Topology
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0406228,
title = {Spherical Tetrahedra and Invariants of 3-manifolds},
author = {Yuka U. Taylor and Christopher T. Woodward},
journal= {arXiv preprint arXiv:math/0406228},
year = {2007}
}
Comments
18 pages, 3 figures