4 problems

Conjectured second-half description. The $\nu$ summands in the second half of $\mathcal{A}_k$ are $y_1^{2^{k-2}-2}M_{k+1}$ and all

Freed–Hopkins' massive-fermion conjecture. On the topological level, the map assigning to $(S,\Gamma,m_*,m)$ the deformation class of the corresponding invertible theory should coi…

KO-width–Rosenberg index conjecture. One has

Let $M$ be a closed $d$-manifold, with fundamental class $[M] \in \mathrm{ko}_d(M,\mathrm{or}(M))$, where $\mathrm{or}(M) \colon M \rightarrow \tau_{\leq 2}\mathrm{BO}$ records its…