Spin structure (Spin -> SO double cover)

Layer 0 — Mathematicsin the Differential Geometry subtree

Lift of orientable Riemannian frame-bundle SO(n) -> Spin(n) (the double cover); exists iff w_2(M) = 0 (second Stiefel-Whitney class); enables spinor fields + Dirac operator on M.

Related concepts

Principal fiber bundle
Seiberg-Witten equations (1994)

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