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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.
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by same author, P U ( 2 ) {PU(2)} monopoles. II. Top-level Seiberg-Witten moduli spaces and Witten’s conjecture in low degrees
2001
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N. Nekrasov, Seiberg-Witten prepotential from instanton counting
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L. Göttsche, D. Zagier, Jacobi forms and the structure of Donaldson invariants for 4 4 -manifolds with b + = 1 b_{+}=1
1998
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A. Losev, N. Nekrasov and S. Shatashvili, Issues in topological gauge theory
1998
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P.M.N. Feehan, P.B. Kronheimer, T.G. Leness, T.S. Mrowka, PU(2) monopoles and a conjecture of Marino, Moore, and Peradze
1999
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Robert Friedman, John W. Morgan Obstruction bundles, semiregularity, and Seiberg-Witten invariants
1999
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M. Marino, G. Moore and G. Peradze, Superconformal invariance and the geography of four-manifolds
1999
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by same author, Instanton counting on blowup. II. K K -theoretic partition function
2005
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A. Braverman and P. Etingof, Instanton counting via affine Lie algebras II: from Whittaker vectors to the Seiberg-Witten prepotential
2006
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N. Nekrasov and A. Okounkov, Seiberg-Witten prepotential and random partitions
2006
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L. Göttsche, H. Nakajima and K. Yoshioka, Instanton counting and Donaldson invariants
2008
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T. Mochizuki, Donaldson type invariants for algebraic surfaces. Transition of moduli stacks
2009
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