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arXiv · 1505.01080

$G_2$-instantons over twisted connected sums: an example

Thomas Walpuski
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Abstract

Using earlier work of S\'a Earp and the author [SEW13] we construct an irreducible unobstructed $G_2$-instanton on an $\mathrm{SO}(3)$-bundle over a twisted connected sum recently discovered by Crowley-Nordstr\"om [CN14].

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Thomas Walpuski. 2015-05-05. $G_2$-instantons over twisted connected sums: an example. https://doi.org/10.4310/mrl.2016.v23.n2.a11

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