Spin geometry

Spin geometry is a branch of mathematics that studies geometric structures and properties related to Spin groups and Spinors. It blends techniques from differential geometry, topology, and representation theory, particularly in the context of manifolds and their symmetry properties. Here are some key concepts related to Spin geometry: 1. **Spin Groups**: The Spin group, denoted Spin(n), is a double cover of the special orthogonal group SO(n), which describes rotations in n-dimensional space.