Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Donaldson = Seiberg-Witten from Mochizuki's formula and instanton
  counting   We propose an explicit formula connecting Donaldson invariants and
Seiberg-Witten invariants of a 4-manifold of simple type via Nekrasov's
deformed partition function for the N=2 SUSY gauge theory with a single
fundamental matter. This formula is derived from Mochizuki's formula, which
makes sense and was proved when the 4-manifold is complex projective. Assuming
our formula is true for a 4-manifold of simple type, we prove Witten's
conjecture and sum rules for Seiberg-Witten invariants (superconformal simple
type condition), conjectured by Mari\~no, Moore and Peradze.

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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat