S-duality in Hyperkähler Hodge Theory
نویسنده
چکیده
Here we survey questions and results on the Hodge theory of hyperkähler quotients, motivated by certain S-duality considerations in string theory. The problems include L2 harmonic forms, Betti numbers and mixed Hodge structures on the moduli spaces of Yang-Mills instantons on ALE gravitational instantons, magnetic monopoles on R3 and Higgs bundles on a Riemann surface. Several of these spaces and their hyperkähler metrics were constructed by Nigel Hitchin and his collaborators.
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