Compact holonomy G2 manifolds need not be formal
Abstract
We construct a compact, simply connected manifold with holonomy $\mathrm{G}_2$ that is non-formal. We use the construction method of compact torsion-free $\mathrm{G}_2$ manifolds developed by D.D. Joyce and S. Karigiannis. A non-vanishing triple Massey product is obtained by arranging the singular locus in a particular configuration.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Geometric and Algebraic Topology
Publication details
- Journal / source
- Geometry & Topology
- Volume
- 30
- Issue
- 3
- Pages
- 1109–1127
- Publication date
- 20 April 2026
- Language
- EN