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, A. G, GÜRBÜZER, S. K, & PAMUK, S (2023). Spin structures on generalized real Bott manifolds. Turkish Journal of Mathematics 47 (4): 1220-1235. https://doi.org/10.55730/1300-0098.3422
