Let $G$ be a compact group acting freely and properly on a spin manifold $X$. Fix a spin-structure on $X$ and suppose it is $G$-equivariant.
How does the $G$-equivariant spin-structure on $X$ induce a spin-structure on the quotient manifold $X/G$?
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Sign up to join this communityLet $G$ be a compact group acting freely and properly on a spin manifold $X$. Fix a spin-structure on $X$ and suppose it is $G$-equivariant.
How does the $G$-equivariant spin-structure on $X$ induce a spin-structure on the quotient manifold $X/G$?