Quantum invariants of three-manifolds obtained by surgeries along torus knots
Hitoshi Murakami
Tohoku University, Sendai, JapanAnh T. Tran
University of Texas at Dallas, Richardson, USA
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Abstract
We study the asymptotic behavior of the Witten–Reshetikhin–Turaev invariant associated with the square of the -th root of unity with odd for a Seifert fibered space obtained by an integral Dehn surgery along a torus knot. We show that it can be described as a sum of the Chern–Simons invariants and the twisted Reidemeister torsions both associated with representations of the fundamental group to the two-dimensional complex special linear group.
Cite this article
Hitoshi Murakami, Anh T. Tran, Quantum invariants of three-manifolds obtained by surgeries along torus knots. Quantum Topol. 13 (2022), no. 4, pp. 691–795
DOI 10.4171/QT/175