G2-instantons on Kovalev manifolds

Details G2-instantons on Kovalev manifolds G2-instantons on Kovalev manifolds

2011-01-05

arxiv.org/abs/1101.0880v1

Mathematics

Differential Geometry

51 pages, 1 figure

Scientific paper

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 G2-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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