English

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

Geometric Topology 2020-12-07 v2

Abstract

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

Keywords

Cite

@article{arxiv.2011.05484,
  title  = {Quantum invariants of three-manifolds obtained by surgeries along torus knots},
  author = {Hitoshi Murakami and Anh T. Tran},
  journal= {arXiv preprint arXiv:2011.05484},
  year   = {2020}
}

Comments

69 pages, 13 figures