3 papers
math.DG2021
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…
math.GT2020
Nu-invariants of extra-twisted connected sums
Sebastian Goette, Johannes Nordström, Don Zagier
We analyse the possible ways of gluing twisted products of circles with asymptotically cylindrical Calabi-Yau manifolds to produce manifolds with holonomy G_2, thus generalising th…
math.DG2017
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…