LSGNT 2021/22

Special holonomy

Above are the slides from the Topics lecture on 3 December. Below is a list of the footnote exercises, together with clarifications and hints.

Exercises and hints

[MEH] Manifolds with exceptional holonomy

A version of this article was published by Springer in 2017 in the book Special Metrics and Group Actions in Geometry and provided images and other material exploited in the Topics lecture.

[RGHG] Riemannian Geometry and Holonomy Groups

The latter is an out-of-print book published by Longman in 1989, effectively a collection of lecture notes, emphasizing representation theoretical aspects. It predates the much more detailed and analytic texts by Dominic Joyce, published by OUP.

updated 03/12/2021