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作者：Birman, JS; Menasco, WW
作者单位：Columbia University; State University of New York (SUNY) System; Buffalo State University
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作者：Nakajima, H; Yoshioka, K
作者单位：Kyoto University; Kobe University
摘要：We give a mathematically rigorous proof of Nekrasov's conjecture: the integration in the equivariant cohomology over the moduli spaces of instantons on R-4 gives a deformation of the Seiberg-Witten prepotential for N = 2 SUSY Yang-Mills theory. Through a study of moduli spaces on the blowup of R-4, we derive a differential equation for the Nekrasov's partition function. It is a deformation of the equation for the Seiberg-Witten prepotential, found by Losev et al., and further studied by Gorsky...
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作者：Tian, G; Viaclovsky, J
作者单位：Massachusetts Institute of Technology (MIT)
摘要：We obtain a volume growth and curvature decay result for various classes of complete, noncompact Riemannian metrics in dimension 4; in particular our method applies to anti-self-dual or Kahler metrics with zero scalar curvature, and metrics with harmonic curvature. Similar results were obtained for Einstein metrics in [And89], [BKN89], [Tia90], but our analysis differs from the Einstein case in that (1) we consider more generally a fourth order system in the metric, and (2) we do not assume an...
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作者：Duan, HB
作者单位：Chinese Academy of Sciences
摘要：Let G be a compact connected Lie group and let H be the centralizer of a one-parameter subgroup in G. Combining the ideas of Bott-Samelson resolutions of Schubert varieties and the enumerative formula on a twisted product of 2 spheres obtained in [Du(2)], we obtain an explicit formula for multiplying Schubert classes in the flag manifold G / H.
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作者：Mabuchi, T
作者单位：University of Osaka
