Spin geometry

Abstract

These are the notes accompanying the lectures on Spin Geometry, a PG course taught in Edinburgh in the Spring of 2010. The only requirement is a working familiarity with basic differential geometry and basic representation theory; although scholia on the necessary definitions will be scattered throughout the notes. Any statement which is not proved to your satisfaction is to be thought of as an exercise, even if not explicitly labelled as such! These notes are still in a state of flux and I am happy to receive comments and suggestions either by email or in person.