Complex $G_2$-manifolds and Seiberg-Witten Equations

Selman Akbulut, Ustun Yildirim

We introduce the notion of complex $G_2$ manifold $M_{\mathbb{C}}$, and complexification of a $G_2$ manifold $M\subset M_{\mathbb{C}}$. As an application we show the following: If $(…