New gluing framework produces torsion-free Spin(7)-manifolds resolving compact Spin(7)-orbifolds, with the gluing obstruction shown equivalent to matching Chen-Ruan cohomology in the codimension-four case.
G 2-manifolds and associative submanifolds via semi-Fano 3-folds.Duke Math
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Spin(7)-Orbifold Resolutions
New gluing framework produces torsion-free Spin(7)-manifolds resolving compact Spin(7)-orbifolds, with the gluing obstruction shown equivalent to matching Chen-Ruan cohomology in the codimension-four case.