Asymptotic behavior of the L2-metric on moduli spaces of Yang-Mills connections, II.
Xiao-Wei Peng (1996)
Mathematische Zeitschrift
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Xiao-Wei Peng (1996)
Mathematische Zeitschrift
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Mitsuhiro Itoh (1986)
Mathematische Annalen
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G. Trautmann, Rosa María Miró-Roig (1994)
Mathematische Zeitschrift
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Youliang Tian (1994)
Mathematische Annalen
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Bernd Martin (1993)
Mathematische Zeitschrift
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A.J. Tromba (1996)
Mathematische Zeitschrift
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Marius van der Put (2011)
Banach Center Publications
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This paper is a sequel to [vdP-Sa] and [vdP]. The two classes of differential modules (0,-,3/2) and (-,-,3), related to PII, are interpreted as fine moduli spaces. It is shown that these moduli spaces coincide with the Okamoto-Painlevé spaces for the given parameters. The geometry of the moduli spaces leads to a proof of the Painlevé property for PII in standard form and in the Flaschka-Newell form. The Bäcklund transformations, the rational solutions and the Riccati solutions for PII...
T. Figiel (1976)
Studia Mathematica
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Hiraku Nakajima (1990)
Inventiones mathematicae
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Georg Schumacher (1985)
Manuscripta mathematica
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Henrik Karstoft (1992)
Mathematica Scandinavica
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Christian Okonek (1983)
Mathematische Zeitschrift
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Hans Jürgen Hoppe (1983)
Mathematische Annalen
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Jarod Alper (2013)
Annales de l’institut Fourier
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We develop the theory of associating moduli spaces with nice geometric properties to arbitrary Artin stacks generalizing Mumford’s geometric invariant theory and tame stacks.
Shuguang Wang (1993)
Mathematische Annalen
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