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- W2039451851 abstract "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." @default.
- W2039451851 created "2016-06-24" @default.
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- W2039451851 date "2010-01-27" @default.
- W2039451851 modified "2023-09-29" @default.
- W2039451851 title "Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting" @default.
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- W2039451851 doi "https://doi.org/10.48550/arxiv.1001.5024" @default.
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