## Tokyo Journal of Mathematics

### The Turaev-Viro Invariants of All Orientable Closed Seifert Fibered Manifolds

Taiji TANIGUCHI

#### 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 thegluing 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.

#### Article information

Source
Tokyo J. Math., Volume 30, Number 2 (2007), 497-522.

Dates
First available in Project Euclid: 4 February 2008

https://projecteuclid.org/euclid.tjm/1202136692

Digital Object Identifier
doi:10.3836/tjm/1202136692

Mathematical Reviews number (MathSciNet)
MR2376525

Zentralblatt MATH identifier
1148.57021

#### Citation

TANIGUCHI, Taiji. The Turaev-Viro Invariants of All Orientable Closed Seifert Fibered Manifolds. Tokyo J. Math. 30 (2007), no. 2, 497--522. doi:10.3836/tjm/1202136692. https://projecteuclid.org/euclid.tjm/1202136692

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