We construct the moduli space of Spin(7)-instantons on a hermitian complex vector bundle over a closed 8-dimensional manifold endowed with a (possibly non-integrable) Spin(7)-structure. We find suitable perturbations that achieve regularity of the moduli space, so that it is smooth and of the expected dimension over the irreducible locus.

中文翻译：

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Spin(7)-instantons 模空间的横向性

我们在一个具有（可能不可积的）Spin(7)-结构的封闭 8 维流形上的 Hermitian 复矢量丛上构造 Spin(7)-instantons 的模空间。我们找到了合适的扰动来实现模空间的规律性，使其在不可约轨迹上是光滑的并且具有预期的维度。