Spin structures on generalized real Bott manifolds

Authors: ASLI GÜÇLÜKAN İLHAN, SABRİ KAAN GÜRBÜZER, SEMRA PAMUK

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.

Keywords: Generalized Bott manifold, small cover, acyclic digraph

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