Spin structure

From Diffgeom

Template:Addlstructureonrm

Definition

A spin structure on an oriented Riemannian manifold is a lift of its gluing cocycle to , to a gluing cocycle to , the double cover of .

Two spin structures are said to be equivalent if Fill this in later

The set of isomorphism classes of spin structures on a Riemannian manifold is denoted as .