15 citations · 20 across the 9 of their papers we have counts for
8 papers · 1 filter
Complete noncompact G2-manifolds with ALC asymptotics
Lorenzo Foscolo, Mark Haskins, Johannes Nordström
We prove existence, uniqueness and structure results for complete noncompact 7-dimensional G2-holonomy metrics with ALC (asymptotically locally conical) asymptotics. We regard such…
Sp(2)-invariant expanders and shrinkers in Laplacian flow
Mark Haskins, Rowan Juneman, Johannes Nordström
We show that the complete Sp(2)-invariant expanding solitons for Bryant's Laplacian flow on the anti-self-dual bundle of the 4-sphere form a 1-parameter family, and that they are a…
SU(2)^2xU(1)-invariant G_2-instantons on the AC limit of the C7 family
Karsten Matthies, Johannes Nordström, Matt Turner
We construct SU(2)^2xU(1)-invariant G_2-instantons on the asymptotically conical limit of the C7 family of G_2-metrics. The construction uses a dynamical systems approach involving…
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…
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…
Ricci-flat deformations and special holonomy
Johannes Nordström
Let G be one of the Ricci-flat holonomy groups SU(n), Sp(n), Spin(7) or G_2, and M a compact manifold of dimension 2n, 4n, 8 or 7, respectively. We prove that the natural map from…