Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivariant maps between sphere bundles over tori and KO-degree   We show a non-existence result for some class of equivariant maps between
sphere bundles over tori. The notion of equivariant KO-degree is used in the
proof. As an application to Seiberg-Witten theory, for a connected closed
oriented spin 4-manifold with indefinite intersection form, we have a new bound
of the second Betti number by the signature and a non-negative integer
determined by the quadruple cup product on the first cohomology group and some
maps in KO-theory induced from the Albanese map.

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The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph