88 citations · 276 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
An analytic invariant of G_2 manifolds
Diarmuid Crowley, Sebastian Goette, Johannes Nordström
We prove that the moduli space of holonomy G_2-metrics on a closed 7-manifold is in general disconnected by presenting a number of explicit examples. We detect different connected…
The classification of 2-connected 7-manifolds
Diarmuid Crowley, Johannes Nordström
We present a classification theorem for closed smooth spin 2-connected 7-manifolds M. This builds on the almost-smooth classification from the first author's thesis. The main addit…
New invariants of G_2-structures
Diarmuid Crowley, Johannes Nordström
We define a Z/48-valued homotopy invariant nu of a G_2-structure on the tangent bundle of a closed 7-manifold in terms of the signature and Euler characteristic of a coboundary wit…