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

Barbuta, AndreiUniversity of Cambridge2025

… torsion-free $G_2$-structure, known as the \emph{Twisted Connected Sum}, to the setting of $7$-orbifolds, spaces locally modeled on $\mathbb{R}^7/\Gamma$, quotients of $\mathbb{R}^7$ by finite subgroups $\Gamma$ of the group $G_2$. Our work extends previous results by Alexei Kovalev (\cite{Kov1}) …

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