Turkish Journal of Mathematics
Abstract
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.
DOI
10.55730/1300-0098.3422
Keywords
Generalized Bott manifold, small cover, acyclic digraph
First Page
1220
Last Page
1235
Recommended Citation
İLHAN, ASLI GÜÇLÜKAN; GÜRBÜZER, SABRİ KAAN; and PAMUK, SEMRA
(2023)
"Spin structures on generalized real Bott manifolds,"
Turkish Journal of Mathematics: Vol. 47:
No.
4, Article 12.
https://doi.org/10.55730/1300-0098.3422
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss4/12
