Contents Online
Mathematical Research Letters
Volume 23 (2016)
Number 2
$\mathrm{G}_2$–instantons over twisted connected sums: An example
Pages: 529 – 544
DOI: https://dx.doi.org/10.4310/MRL.2016.v23.n2.a11
Author
Abstract
Using earlier work of Sá Earp and the author [SEW15] we construct an irreducible unobstructed $\mathrm{G}_2$–instanton on an $\mathrm{SO}(3)$–bundle over a twisted connected sum $\mathrm{G}_2$–manifold recently discovered by Crowley and Nordström [CN14].
Keywords
$\mathrm{G}_2$–manifolds, $\mathrm{G}_2$–instantons, twisted connected sum, gauge theory, holomorphic bundles, gluing construction
2010 Mathematics Subject Classification
53C07, 53C25, 53C38
Accepted 22 October 2015
Published 6 June 2016