Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Band width and the Rosenberg index   A Riemannian manifold is said to have infinite $\mathcal{KO}$-width if it
admits an isometric immersion of an arbitrarily wide Riemannian band whose
inward boundary has non-trivial higher index. In this paper we prove that if a
closed spin manifold has inifinite $\mathcal{KO}$-width, then its Rosenberg
index does not vanish. This gives a positive answer to a conjecture by R.
Zeidler. We also prove its `multi-dimensional' generalization; if a closed spin
manifold admit an isometric immersion of an arbitrarily wide cube-like domain
whose lowest dimensional corner has non-trivial higher index, then the
Rosenberg index of $M$ does not vanish.

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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: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg