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The two-resolution conjecture for the $N_{1,0}$ $\mathrm{Spin}(7)$ cone
Let $N_{1,0}$ be the Aloff--Wallach space occurring as the principal orbit, and let the associated $\mathrm{Spin}(7)$ cone be the conical $\mathrm{Spin}(7)$ space with link…
Conjecturesolvedaloff-wallach-spaces cohomogeneity-one-metrics spin-7-geometryarXiv posted 2 days ago

The two-resolution conjecture for the N1,0N_{1,0}N1,0​ Spin(7)\mathrm{Spin}(7)Spin(7) cone