Transgression on Hyperkähler Manifolds and Generalized Higher Torsion Forms

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dc.creatorGerasimov, A.
dc.creatorKotov, A.
dc.date2000-12-26
dc.date.accessioned2026-07-07T04:39:25Z
dc.date.available2026-07-07T04:39:25Z
dc.descriptionWe propose a generalization of the Hodge $dd_c$-lemma to the case of hyperkähler manifolds. As an application of this result we derive the global construction of the fourth order transgression of the Chern character forms of hyperholomorphic bundles over compact hyperkähler manifolds. At the second part of the paper we consider the fourth order transgression for the infinite dimensional bundle arising from local families of hyperkähler manifolds. We propose a local construction of the fourth order transgression of the Chern character form. We derive an explicit expression for arising hypertorsion differential form. It's zero-degree part may be expressed in terms of the Laplace operators defined on the fibers of the local family.
dc.description17pp., Latex
dc.identifierhttps://arxiv.org/abs/math/0012248
dc.identifierhttp://arxiv.org/abs/math/0012248
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60650
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectK-Theory and Homology
dc.titleTransgression on Hyperkähler Manifolds and Generalized Higher Torsion Forms
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