Abstract
The Turaev-Viro invariants are topological invariants of closed 3-manifolds. In this paper, we give a formula of the Turaev-Viro invariants of all orientable closed Seifert fibered manifolds. Our formula is based on a new construction of special spines of all orientable closed Seifert fibered manifolds and the``gluing lemma'' of topological quantum field theory. By using our formula, we get sufficient conditions of coincidence of the Turaev-Viro invariants of orientable closed Seifert fibered manifolds.
Citation
Taiji TANIGUCHI. "The Turaev-Viro Invariants of All Orientable Closed Seifert Fibered Manifolds." Tokyo J. Math. 30 (2) 497 - 522, December 2007. https://doi.org/10.3836/tjm/1202136692
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