6 problems

Let $\mathcal{C}$ be the category of bordisms generated by the elementary critical points of index $0$ and $1$, and let $\mathcal{H}$ be the quotient category of the category…

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 $\mathbb{F}_{cfd}$ be the symmetric monoidal bicategory of framed two-dimensional bordisms with fully dualizable objects, let $\mathcal{C}$ be a symmetric monoidal bicategory,…

Let $M$ be a smooth manifold, let $2|1\text{-{\sf EB}}(M)$ denote an appropriate fully extended super Euclidean bordism category over $M$, and let $\mathcal{C}$ be the category of…

A balanced crossed simplicial group is a crossed simplicial group satisfying the balancedness condition described in the surrounding discussion. Topological bordism conjecture. Eve…

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…