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arXiv · 1101.0880

$G_2$-instantons over asymptotically cylindrical manifolds

Henrique N. Sá Earp
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Abstract

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".

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BibTeXRIS

Henrique N. Sá Earp. 2014-01-29. $G_2$-instantons over asymptotically cylindrical manifolds. https://doi.org/10.2140/gt.2015.19.61

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