3 problems

Let $(Y,\iota)$ be a real three-manifold with a compatible real $\mathrm{spin^c}$ structure $\mathfrak{s}$. Let $\widetilde{\mathit{HMR}}$, $\widecheck{\mathit{HMR}}$,…

Let $\Sigma$ be a real Riemann surface with non-dividing real structure. The real locus $\Sigma_{\bf R}$ determines a nonzero class $[\Sigma_{\bf R}]\in H_1(\Sigma,\mathbb{Z}_2)$,…

Let $\Sigma$ be a real Riemann surface with non-dividing real structure, and let $\overline{l}$ be the real line bundle constructed from the holonomy data of a Real gerbe with conn…