S-duality in hyperkaehler Hodge theory

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dc.creatorHausel, Tamas
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:34Z
dc.date.available2026-07-07T08:27:34Z
dc.descriptionHere 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.
dc.descriptionDedicated to Nigel Hitchin on the occasion of his sixtieth birthday
dc.identifierhttps://arxiv.org/abs/0709.0504
dc.identifierhttp://arxiv.org/abs/0709.0504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137313
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleS-duality in hyperkaehler Hodge theory
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