Abstract
A concrete model for a –dimensional gauge theory under special holonomy is proposed, within the paradigm of Donaldson and Thomas, over the asymptotically cylindrical –manifolds provided by Kovalev’s solution to a noncompact version of the Calabi conjecture.
One obtains a solution to the –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”.
Citation
Henrique Sá Earp. "$G_2$–instantons over asymptotically cylindrical manifolds." Geom. Topol. 19 (1) 61 - 111, 2015. https://doi.org/10.2140/gt.2015.19.61
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