Witten and Reshetikhin-Turaev which goes by the name ‘Chern-Simons theory’ (sometimes ‘*holomorphic* Chern-Simons theory’ to distinguish it from the $L^2$ theory) is completely finite.

The theories we construct here are extended, or multi-tiered, TQFTs which go all the way down to points. For the $n=3$ Chern-Simons theory, which we term a ‘0-1-2-3 theory’ to emphasize the extension down to points, we only treat the cases where $G$ is finite or $G$ is a torus, the latter being one of the main novelties in this paper. In other words, for toral theories we provide an answer to the longstanding question: What does Chern-Simons theory attach to a point? The answer is a bit subtle as Chern-Simons is an *anomalous* field theory of oriented manifolds.[^5] This framing anomaly was already flagged in Witten’s seminal paper [@Wi]. Here we interpret the anomaly as an *invertible* 4-dimensional topological field theory ${\mathscr{A}}$, defined on oriented manifolds. The Chern-Simons theory is a “truncated morphism” $Z{\colon}1\to {\mathscr{A}}$ from the trivial theory to the anomaly theory. For example, on a closed oriented 3-manifold $X$ the anomaly theory produces a complex line ${\mathscr{A}}(X)$ and the Chern-Simons invariant $Z(X)$ is a (possibly zero) element of that line. This is the 