Spin Structures on Generalized Real Bott Manifolds
Algebraic Topology
2023-03-21 v3
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 -weighted digraphs. Using this, we obtain a family of real Bott manifolds that does not admit Spin Structure.
Cite
@article{arxiv.2111.09585,
title = {Spin Structures on Generalized Real Bott Manifolds},
author = {Aslı Güçlükan İlhan and S. Kaan Gürbüzer and Semra Pamuk},
journal= {arXiv preprint arXiv:2111.09585},
year = {2023}
}