Quantum invariants of three-manifolds obtained by surgeries along torus knots (Q2697611)

Summary: 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.