88 citations · 276 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
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…
Asymptotically cylindrical Calabi-Yau manifolds
Mark Haskins, Hans-Joachim Hein, Johannes Nordström
Let be a complete Ricci-flat Kahler manifold with one end and assume that this end converges at an exponential rate to for some compact connected Ricci-fl…
G_2-manifolds and associative submanifolds via semi-Fano 3-folds
Alessio Corti, Mark Haskins, Johannes Nordström +1
We provide a significant extension of the twisted connected sum construction of G_2-manifolds, i.e. Riemannian 7-manifolds with holonomy group G_2, first developed by Kovalev; alon…
Asymptotically cylindrical 7-manifolds of holonomy G_2 with applications to compact irreducible G_2-manifolds
Alexei Kovalev, Johannes Nordström
We construct examples of exponentially asymptotically cylindrical Riemannian 7-manifolds with holonomy group equal to G_2. To our knowledge, these are the first such examples. We a…