S-duality in hyperkaehler Hodge theory

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Here we survey questions and results on the Hodge theory of hyperkaehler quotients, motivated by certain S-duality considerations in string theory. The problems include L^2 harmonic forms, Betti numbers and mixed Hodge structures on the moduli spaces of Yang-Mills instantons on ALE gravitational instantons, magnetic monopoles on R^3 and Higgs bundles on a Riemann surface. Several of these spaces and their hyperkaehler metrics were constructed by Nigel Hitchin and his collaborators.
Dedicated to Nigel Hitchin on the occasion of his sixtieth birthday

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Algebraic Geometry, High Energy Physics - Theory, Mathematical Physics, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/137313

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.0504
 http://arxiv.org/abs/0709.0504

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arXiv