On orientations for gauge-theoretic moduli spaces

Dominic Joyce, Yuuji Tanaka, Markus Upmeier

Let $X$ be a compact manifold, $D$ a real elliptic operator on $X$, $G$ a Lie group, $P\to X$ a principal $G$-bundle, and ${\mathcal{B}}_P$ the infinite-dimensional moduli space of…