6 problems

Parametrised T-duality trivialisation conjecture. The diagram

Let $G$ be a compact Lie group acting smoothly on a compact manifold $M$, let $\alpha\in H^3_G(M,\mathbb Z)$, let $R(G)$ be the representation ring, and let…

Let $G$ be a compact Lie group acting smoothly on a compact manifold $M$, let $\alpha\in H^3_G(M,\mathbb Z)$, let $H$ be the relevant transformation groupoid, and let $L$ be the as…

Let $(E,h)$ and $(\hat E,\hat h)$ be T-dual pairs of a $\mathbb{Z}/2$-equivariant circle bundle and a Real circle bundle, with twists $h\in H^3_\pm(E)$ and…

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

Geometric realization conjecture. There is an increasing function $N:\mathbb{N}\to\mathbb{N}$ and a collection of isomorphisms