5 problems

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 M-theory be compactified on $T^{d+1}$ with $d\leq4$, let $H$ denote the resulting three-form field strengths, and let $M(\mathrm{string})$ be the mass matrix in the string repr…

M-theory–F-theory duality conjecture. The following physical theories are equivalent:

Let $Y$ be a target space-time, and let $Z_{D2}(Y)$ and $Z_{M2}(Y)$ denote the path integrals of perturbative D2-brane and M2-brane theories, respectively. The relevant worldvolume…

Loop-space TMF to twisted K-theory conjecture. There is a map