3 papers
math.GT2025
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.GT2025
Path components of -moduli spaces may be non-aspherical
Diarmuid Crowley, Sebastian Goette, Thorsten Hertl
Starting from Joyce's generalised Kummer construction, we exhibit non-trivial families of -manifolds over the two dimensional sphere by resolving singularities with a…
math.GT2024
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…