Spherical Tetrahedra and Invariants of 3-manifolds

Yuka U. Taylor; Christopher T. Woodward

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Spherical Tetrahedra and Invariants of 3-manifolds

Yuka U. Taylor·Christopher T. Woodward

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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.

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Yuka U. Taylor, Christopher T. Woodward. 2004-06-13. Spherical Tetrahedra and Invariants of 3-manifolds. https://arxiv.org/abs/math/0406228

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