Transversality for the moduli space of Spin(7)-instantons

Abstract

We construct the moduli space of Spin(7)-instantons on a hermitian complex vector bundle over a closed 8-dimensional manifold endowed with a (possibly non-integrable) Spin(7)-structure. We find suitable perturbations that achieve regularity of the moduli space, so that it is smooth and of the expected dimension over the irreducible locus.

34 pages, no figures. Several typos fixed and references added, title changed

References in corpus (4)

• Heterotic supersymmetry, anomaly cancellation and equations of motion
• Infinitesimal moduli of G2 holonomy manifolds with instanton bundles
• Moduli of $G_2$ structures and the Strominger system in dimension 7
• Spin(7) instantons and the Hodge Conjecture for certain abelian four-folds: a modest proposal