Hard Lefschetz actions in Riemannian geometry with special holonomy

Simple item page
dc.creatorLeung, Naichung Conan
dc.creatorLi, Changzheng
dc.date2008-08-04
dc.date.accessioned2026-07-07T09:54:32Z
dc.date.available2026-07-07T09:54:32Z
dc.descriptionIt is known that the hard Lefschetz action, together with Kähler identities for Kähler (resp. hyperkähler) manifolds, determines a $\mathfrak{su}(1,1)_{sup}$ (resp. $\mathfrak{sp}(1,1)_{sup}$) Lie superalgebra action on differential forms. In this paper, we explain the geometric origin of this action, and we also generalize it to manifolds with other holonomy groups. For semi-flat Calabi-Yau (resp. hyperkähler) manifolds, these symmetries can be enlarged to a $\mathfrak{so}(2,2)_{sup}$ (resp. $\mathfrak{su}(2,2)_{sup}$) action.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0808.0393
dc.identifierhttp://arxiv.org/abs/0808.0393
dc.identifierMath. Res. Lett. 15 (2008), no.4, 683-698
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166350
dc.subjectDifferential Geometry
dc.subjectRepresentation Theory
dc.titleHard Lefschetz actions in Riemannian geometry with special holonomy
dc.typetext

Files

Collections

arXiv