Kirby-Melvin's ${\tau }_r^{{}^{\prime }}$ and Ohtsuki's $\tau$ for Lens spaces

Bang-He Li, Tian-Jun Li

In this note, we first derive explicit formulas for Kirby-Melvin's three-manifold invariants ${\tau }_r^{{}^{\prime }}$ for all Lens spaces from our results for another set of invariants ${\xi }_r$ defi…