29 citations · 148 across the 23 of their papers we have counts for
23 papers
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…
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…
Highly connected 7-manifolds, the linking form and non-negative curvature
Sebastian Goette, Martin Kerin, Krishnan Shankar
In a recent article, the authors constructed a six-parameter family of highly connected 7-manifolds which admit an SO(3)-invariant metric of non-negative sectional curvature. Each…
Distinguishing G_2-manifolds
Diarmuid Crowley, Sebastian Goette, Johannes Nordström
In this survey, we describe invariants that can be used to distinguish connected components of the moduli space of holonomy G_2 metrics on a closed 7-manifold, or to distinguish G_…
Highly connected 7-manifolds and non-negative curvature
Sebastian Goette, Martin Kerin, Krishnan Shankar
In this article, a six-parameter family of highly connected 7-manifolds which admit an SO(3)-invariant metric of non-negative sectional curvature is constructed and the Eells-Kuipe…
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…