Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin Structures on Generalized Real Bott Manifolds   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.

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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: nlin