In this talk, we introduce the bi-colored 3-manifold decorated by a spherical fusion category and obtain quantum invariants on bi-colored 3-manifold. We show that the quantum invariants produce topological invariants for embedded surfaces, knot invariants, 3-manifold invariant including the Reshetikhin-Turaev invariants and the Turaev-Viro invariants (also for pseudo-manifolds). We also introduce the tube category topologizing Drinfeld center and categorifing the Ocneanu's tube algebra. By the duality of bi-colored 3-manifold, we obtain the equality of the Reshetikhin-Turaev invariants and the Turaev-Viro invariants directly. By the topologized framework, we obtain an elegant topological and computational interpretation of the generalized Frobenius-Schur indicators. Moreover, the equivariance of generalized Frobenius-Schur indicators immediately follows from the homemorphism invariance of the quantum invariants.