Which lens spaces are distinguished by Turaev-Viro invariants
Copyright policy )Which lens spaces are distinguished by Turaev-Viro invariants
Using the works of \textit{S. Yamada} [J. Knot Theory Ramifications 4, No. 2, 319-327 (1995; Zbl 0843.57004)] and \textit{L. C. Jeffrey} [Commun. Math. Phys. 147, No. 3, 563-604 (1992; Zbl 0755.53054)], the author gives an explicit formula for the value of the Turaev-Viro invariants of the 3-dimensional lens spaces \(L_{p,q}\). These invariants are also called the absolute values of the Chern-Simons-Witten invariants. The author then proceeds to give a complete answer to the question: Given two lens spaces, do the Turaev-Viro invariants distinguish them?
- Chelyabinsk State University Russian Federation
General low-dimensional topology, lens spaces, Jeffrey formula, Topology of general \(3\)-manifolds
General low-dimensional topology, lens spaces, Jeffrey formula, Topology of general \(3\)-manifolds
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