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math.DG2018
Extra-twisted connected sum G_2-manifolds
Johannes Nordström
We present a construction of closed 7-manifolds of holonomy G_2, which generalises Kovalev's twisted connected sums by taking quotients of the pieces in the construction before glu…
math.DG2018★ 2 cited
Infinitely many new families of complete cohomogeneity one G_2-manifolds: G_2 analogues of the Taub-NUT and Eguchi-Hanson spaces
Lorenzo Foscolo, Mark Haskins, Johannes Nordström
We construct infinitely many new 1-parameter families of simply connected complete noncompact G_2-manifolds with controlled geometry at infinity. The generic member of each family…