Turkish Journal of Mathematics
In this paper, we give a necessary and sufficient condition for a generalized real Bott manifold to have a spin structure in terms of column vectors of the associated matrix. We also give an interpretation of this result to the associated acyclic $\omega$-weighted digraphs. Using this, we obtain a family of real Bott manifolds that does not admit spin structure.
Generalized Bott manifold, small cover, acyclic digraph
İLHAN, ASLI GÜÇLÜKAN; GÜRBÜZER, SABRİ KAAN; and PAMUK, SEMRA
"Spin structures on generalized real Bott manifolds,"
Turkish Journal of Mathematics: Vol. 47:
4, Article 12.
Available at: https://journals.tubitak.gov.tr/math/vol47/iss4/12