Functorial calculus in monoidal bicategories (Q1404246)

Let \({\mathcal V}\) be a cocomplete symmetric monoidal category; then there is a theory of extraordinary natural transformations for categories enriched in \({\mathcal V}\). The author shows that the extraordinary natural transformations are \(2\)-cells in an autonomous monoidal bicategory of \({\mathcal V}\)-modules, and extends the theory to arbitrary autonomous monoidal bicategories.