# G2–instantons Over Asymptotically Cylindrical Manifolds

@article{Earp2011G2instantonsOA,
title={G2–instantons Over Asymptotically Cylindrical Manifolds},
author={Henrique N. S{\'a} Earp},
journal={Scopus},
year={2011}
}
• H. S. Earp
• Published 5 January 2011
• Mathematics
• Scopus
A concrete model for a 7-dimensional gauge theory under special holonomy is proposed, within the paradigm outlined by Donaldson and Thomas, over the asymptotically cylindrical G2-manifolds provided by Kovalev's noncompact version of the Calabi conjecture. One obtains a solution to the $G_2$-instanton equation from the associated Hermitian Yang-Mills problem, to which the methods of Simpson et al. are applied, subject to a crucial asymptotic stability assumption over the "boundary at infinity".
32 Citations

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