Twisted Segal–Stolz–Teichner conjecture

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–Stolz–Teichner conjecture. The twisted $\mathrm{TMF}$ group $\mathrm{TMF}^{-(\nu\oplus k)}(X)$ is the deformation class of 2d $\mathcal{N}=(0,1)$ supersymmetric theories parameterized by $X$ with anomaly $\nu\oplus k\in (I_\mathbb{Z}\Omega^\text{spin})^4(X)$. This is the proposed parametrized or twisted extension of the $\mathrm{TMF}$ classification, generalizing the equivariant formulation and supplying the framework for families of theories with varying anomaly data.