2 problems

Let $SO(2)$ act on the symmetric monoidal bicategory $\mathbb{F}_{cfd}$ of framed two-dimensional bordisms with fully dualizable objects. Write $(\mathbb{F}_{cfd})_{SO(2)}$ for the…

Let $\mathcal{C}$ be a quilted $2$-category whose underlying $1$-category has Cerf decompositions. Let $\mathcal{F}$ be a Cerf-compatible partial functor from the objects and simpl…