6 problems

Consider a circle bundle over ${\mathbb R}\operatorname{P}^{3}$ with $H$-flux $H=(k,1)$, where the first component is the integer class from…

Let $r\ge 2$, and consider the map … Here the map is induced by the covering map from the regular cover $S_{\mathcal{D}}\to\Sigma_{g,p}^b$, where…

Let $\kappa\in\mathbb{N}_{\geq 2}$, $r\in\{1,\ldots,\kappa\}$, and $\vec{\mathrm{w}}\in\{0,\ldots,k\}^N$. Let…

Let $X$ be a parameter space, and let $\nu\oplus k\in (I_\mathbb{Z}\Omega^\text{spin})^4(X)$ be the anomaly of a 2d spin $\mathcal{N}=(0,1)$ supersymmetric theory. Twisted Segal–St…

Sati's conjecture. A twisted form of Morava K-theory and E-theory should describe an extension of the untwisted setting in the study of anomalies at chromatic level two.

Twisted Morava theory differential conjecture. The cohomology class $W_7+[H_7]$ corresponds to a differential in twisted Morava $K$-theory and twisted Morava $E$-theory, where…