Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The simple type conjecture for mod 2 Seiberg-Witten invariants   We prove that, under a simple condition on the cohomology ring, every closed
4-manifold has mod 2 Seiberg-Witten simple type. This result shows that there
exists a large class of topological 4-manifolds such that all smooth structures
have mod 2 simple type, and yet some have non-vanishing (mod 2) Seiberg-Witten
invariants. As corollaries, we obtain adjunction inequalities and show that,
under a mild topological condition, every geometrically simply connected closed
4-manifold has the vanishing mod 2 Seiberg-Witten invariant for at least one
orientation.

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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol