Notes on Construction of the Knot Invariant from $\mathrm{O}\mathrm{u}\mathrm{a}\mathrm{n}\mathrm{t}\mathrm{u}\sim \mathrm{m} $ Dilogarithm Function

Since the discovery of the Jones polynomial [15], the quantum $\mathrm{g}\mathrm{r}o$up has $\dot{\mathrm{b}}\mathrm{e}\mathrm{e}\mathrm{n} $ used to construct the invariants of knots and links, and many knot invariants such as HOM-FLY polynomial [9], colored Jones polynomial [4], Kauffman $\mathrm{p}o$lynomial [22], have been $\mathrm{p}\mathrm{r}o$posed. Recently Kashaev constructed a knot invariant by use of the cyclic quantu