2 problems

Let $\epsilon$ be the nontrivial class in $H^1(S^1,\mathbb{Z}_2)=\mathbb{Z}_2$, let $T^2\to S^1$ be the torus bundle, and let $K\to S^1$ be the Klein-bottle bundle, with both space…

Let $X$ and $\hat{X}$ be orientifold T-dual spaces equipped with the relevant twists, and let $H^{i,\alpha,H}_\epsilon(X)$ denote the twisted cohomology associated to the involutio…