Spin structures on flat manifolds

2014/11/28 by Lutowski, Rafał, Putrycz, Bartosz · 3 citations
#Differential Geometry (math.DG) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1411.7799

Abstract

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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• CasimirRFM: A Mathematica package for Riemann-flat compactifications with Casimir energies
• Supersymmetry-breaking compactifications on Riemann-flat manifolds
• An M-theory dS maximum from Casimir energies on Riemann-flat manifolds

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