7 problems

The group $cpi_d\operatorname{TMF}$ is the degree-$d$ part of topological modular forms, and $cpi_0$ denotes connected components of the space of theories. A two-dimensional…

Order-two bordism conjecture. The group $\pi_{11}M\mathfrak m_c$ is cyclic of order $2$, the bordism class of $(N,0)$ represents its generator, and the mod-$2$ index of the…

Let $k$ be as in the paper, let $x_1$ and $y$ specify the twist, and let $\alpha_{\mathrm{DW}}$ and $\alpha_{\mathrm{GW}}$ be the Dijkgraaf–Witten and Gu–Wen classes in…

Non-perturbative Noether theorem. If $\cT$ has $X$-symmetry, then there exists a factorizing line bundle $\mc{L}$ on the prefactorization space $X_c$ and a map of prefactorization…

Let $X$ be a parameter space, and let $\nu\oplus k\in (I_\mathbb{Z}\Omega^\text{spin})^4(X)$ be the anomaly of a 2d spin $\mathcal{N}=(0,1)$ supersymmetric theory. Twisted Segal–St…

Let $G$ be a symmetry group, let $\nu$ be the gravitational anomaly, and let $k$ be the 't Hooft anomaly, with $\nu\oplus k\in (I_\mathbb{Z}\Omega^\text{spin})^4(BG)$. For a simple…

Let $\mathcal{C}$ be a modular tensor category. Let $(\mathcal{A},q)$ be an isomorphism between $\mathrm{Vect}$ and $\mathcal{C}$ in ${\rm Braid}^{\otimes}$, equivalently an equiva…