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Spin-structures on real Bott manifolds with Kähler structure

Published 11 Jul 2022 in math.DG | (2207.04879v2)

Abstract: Let $M$ be a real Bott manifold with K\"{a}hler structure. Using Ishida characterization \cite{I11} we give necessary and sufficient condition for the existence of the spin-structure on $M$. In proof we use the technic developed in \cite{PS16} and characteristic classes.

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