Abstract
A recent result of Gibbons and Hawking on the existence of spin-Lorentz cobordisms is applied to the class of 3-manifolds that can support a non-negative scalar curvature metric. We call such manifolds admissible. It is shown how in general the existence of a spin-Lorentz cobordism restricts the number-mod-2 of certain prime manifolds to occur in the prime decomposition, which are explicitly listed in the case of admissible manifolds.
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Communicated by N. Yu. Reshetikhin
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Giulini, D. On the selection rules for spin-Lorentz cobordisms. Commun.Math. Phys. 148, 353–357 (1992). https://doi.org/10.1007/BF02100865
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DOI: https://doi.org/10.1007/BF02100865