Gauge theory in higher dimensions, II

Contents 1. Introduction 1 2. Basic set-up 2 2.1.Exceptional holonomy 2 2.2.Gauge theory and submanifolds 5 3. Taming forms 9 3.1.Dimension 8 9 3.2.Dimension 7 10 3.3.Dimension 6 12 4. Gauge theory on tamed almost-G 2 -manifolds with tubular ends 15 4.1.Compact 7-manifolds 15 4.2.7-manifolds with tubular ends 17 4.3.Holomorphic bundles over moduli space 19 5. Finite-dimensional analogue 23 5.1.Morse-Novikov Theory 23 5.2.Discussion 28 6.Interaction between gauge theory and calibrated geometry 30 6.1.G 2 -instantons and associative submanifolds 30 6.2.Implications 36 6.3.