Spherical Tetrahedra and Invariants of 3-manifolds

2004/06/11 by Yuka U. Taylor, Taylor, Yuka U., Christopher T. Woodward +1 · 1 citation
Mathematics · #57M27 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:57M27

paper · pdf · doi:10.48550/arxiv.math/0406228

18 pages, 3 figures

openalex publication_date 2004/06/11 · arxiv created 2004/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Ponzano-Regge model revisited II: Equivalence with Chern-Simons

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