3 problems

Let $H_n$ be the symmetry group in dimension $n$, let $MTH$ be the Thom spectrum associated to this symmetry, and let $I\mathbb Z$ denote the Anderson dual of the sphere spectrum.…

Let $H_n$ be a symmetry group in dimension $n$, and consider invertible $n$-dimensional extended topological field theories with reflection structure and positive partition functio…

Let $H_n$ be the symmetry group in dimension $n$, let $\operatorname{Bord}_n^{\nabla}(H_n)$ be the geometric bordism category with connections, and let $F$ be an invertible theory…