Canonical orientations for moduli spaces of G2-instantons with gauge group SU(m) or U(m)

Suppose (X,g) is a compact, spin Riemannian 7-manifold, with Dirac operator D/g : C∞(X,S/) → C∞(X,S/). Let G be SU(m) or U(m), and E → X be a rank m complex bundle with G-structure. Write BE for the infinite-dimensional moduli space of connections on E, modulo gauge. There is a natural principal Z2-...

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Bibliographic Details
Main Authors: Joyce, D, Upmeier, M
Format: Journal article
Language:English
Published: International Press 2023