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Generalized spin structures on four dimensional space-times

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We discuss various methods for investigating the existence and uniqueness of generalized spin structures. We show that on a four dimensional manifold whole families may be constructed using any internal symmetry group of the formG/ℤ2, whereG is a simply connected Lie group.

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Communicated by R. Geroch

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Avis, S.J., Isham, C.J. Generalized spin structures on four dimensional space-times. Commun.Math. Phys. 72, 103–118 (1980). https://doi.org/10.1007/BF01197630

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