Constructing compact manifolds with exceptional holonomy
| dc.creator | Joyce, Dominic | |
| dc.date | 2002-03-15 | |
| dc.date.accessioned | 2026-07-07T04:47:06Z | |
| dc.date.available | 2026-07-07T04:47:06Z | |
| dc.description | The exceptional holonomy groups are G2 in 7 dimensions, and Spin(7) in 8 dimensions. Riemannian manifolds with these holonomy groups are Ricci-flat. This is a survey paper on constructions for compact 7- and 8-manifolds with holonomy G2 and Spin(7). The simplest such constructions work by using techniques from complex geometry and Calabi-Yau analysis to resolve the singularities of a torus orbifold T^7/G or T^8/G, for G a finite group preserving a flat G2 or Spin(7)-structure on T^7 or T^8. There are also more complicated constructions which begin with a Calabi-Yau manifold or orbifold. All the material in this paper is covered in much more detail in the author's book, "Compact manifolds with special holonomy", Oxford University Press, 2000. | |
| dc.description | 17 pages. Lecture for Clay Institute School on Geometry and String Theory, Cambridge, March 2002 | |
| dc.identifier | https://arxiv.org/abs/math/0203158 | |
| dc.identifier | http://arxiv.org/abs/math/0203158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63579 | |
| dc.subject | Differential Geometry | |
| dc.title | Constructing compact manifolds with exceptional holonomy | |
| dc.type | text |