Spin structure

From Diffgeom
Revision as of 20:09, 18 May 2008 by Vipul (talk | contribs) (1 revision)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Template:Addlstructureonrm

Definition

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

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 M is denoted as Spin(M).