Almost integral TQFTs from simple Lie algebras (Q2571383)

Let \(D\) be a Dedekind domain contained in a ring \(K\). A TQFT \((T, \tau)\) with base ring \(K\) is called almost (\(D\)-) integral if there exists some elements \(\varepsilon\in K\) such that \(\varepsilon_\tau(M)\) is in \(D\) for any closed connected cobordism \(M\). In this paper, by restricting the colors for ribbon graphs embedded in extended 3-cobordisms, the authors show that a modified version of the TQFT \((T_r^g, \tau_r^g)\) is almost integral.