88 citations · 397 across the 17 of their papers we have counts for
19 papers
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…
Uniqueness of Asymptotically Conical Gradient Shrinking Solitons in G_2-Laplacian Flow
Mark Haskins, Ilyas Khan, Alec Payne
We prove a uniqueness result for asymptotically conical (AC) gradient shrinking solitons for the Laplacian flow of closed G_2-structures: If two gradient shrinking solitons to Lapl…
Cohomogeneity-one solitons in Laplacian flow: local, smoothly-closing and steady solitons
Mark Haskins, Johannes Nordström
We initiate a systematic study of cohomogeneity-one solitons in Bryant's Laplacian flow of closed G_2-structures on a 7-manifold, motivated by the problem of understanding finite-t…
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…
Complete non-compact G2-manifolds from asymptotically conical Calabi-Yau 3-folds
Lorenzo Foscolo, Mark Haskins, Johannes Nordström
We develop a powerful new analytic method to construct complete non-compact G2-manifolds, i.e. Riemannian 7-manifolds (M,g) whose holonomy group is the compact exceptional Lie grou…