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arXiv · 1703.08302

Spin-structures on real Bott manifolds with Kähler structures

Anna Gąsior
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Abstract

Let M be a real Bott manifold with Kähler structure. Using Ishida characterization we give necessary and sufficient condition for the existence of the Spin-structure on M. In proof we use the technic developed in Popko, Szczepański "Cohomological rigity of oriented Hantzsche-Wendt manifolds" (Adv. Math. 302 (2016), 1044 - 1068) and characteristic classes.

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Anna Gąsior. 2017-03-24. Spin-structures on real Bott manifolds with Kähler structures. https://arxiv.org/abs/1703.08302

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