2 problems

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…

Let $X$ be a space with a $\mathbb{Z}/2$-action. A T-dual pair consists of a pair $(E,h)$, where $\mathbb{Z}/2$ acts equivariantly on the circle bundle $pi:E\to X$ and…