Orientation data for moduli spaces of coherent sheaves over Calabi-Yau 3-folds

Dominic Joyce, Markus Upmeier

Let $X$ be a compact Calabi-Yau 3-fold, and write $\mathcal{M},\bar{\mathcal{M}}$ for the moduli stacks of objects in coh$(X),D^b$coh$(X)$. There are natural line bundles $K_{\mathca…