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Compact G₂-orbifolds via Twisted Connected Sums and Associative 3-folds

Barbuta, AndreiUniversity of Cambridge2025

… result in the thesis is a classification of associative $3$-folds in product $G_2$-manifolds of the form $X\times T^3$, and related $G_2$ orbifolds of the form $(X\times T^3)/\mathbb{Z}_2^2$ where $X$ is a hyper-Kähler $K3$ surface. The defining condition for this class is that the derivative …

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