Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Donaldson invariants of symplectic manifolds   We prove that symplectic 4-manifolds with $b_1 = 0$ and $b^+ > 1$ have
nonvanishing Donaldson invariants, and that the canonical class is always a
basic class. We also characterize in many situations the basic classes of a
Lefschetz fibration over the sphere which evaluate maximally on a generic
fiber.

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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex