Quantum invariants of three-manifolds obtained by surgeries along torus knots

Hitoshi Murakami; Anh T. Tran

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arXiv · 2011.05484

Quantum invariants of three-manifolds obtained by surgeries along torus knots

Hitoshi Murakami·Anh T. Tran

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Abstract

We study the asymptotic behavior of the Witten-Reshetikhin-Turaev invariant associated with the square of the $n$-th root of unity with odd $n$ 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.

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Hitoshi Murakami, Anh T. Tran. 2020-11-11. Quantum invariants of three-manifolds obtained by surgeries along torus knots. https://arxiv.org/abs/2011.05484

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