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Spin structures on flat manifolds

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arxiv 1411.7799 v3 pith:UKYVFML5 submitted 2014-11-28 math.GR math.DG

Rafa{l} Lutowski , Bartosz Putrycz This is my paper
classification math.GRmath.DG
keywords flatmanifoldsspinstructuresalgorithmicapplyapproachcases
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We present an algorithmic approach to the problem of existence of spin structures on flat manifolds. We apply our method in the cases of flat manifolds of dimensions 5 and 6.

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  1. Supersymmetry-breaking compactifications on Riemann-flat manifolds

    hep-th 2025-07 conditional novelty 7.0 of 10

    For maximal supergravity on Riemann-flat Bieberbach manifolds, the Kaluza-Klein spectrum can be reorganized so that all supertraces vanish up to mass power eight, yielding a finite, negative one-loop potential.

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