Reduction and duality in generalized geometry

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dc.creatorHu, Shengda
dc.date2005-12-29
dc.date2006-11-14
dc.date.accessioned2026-07-07T06:55:52Z
dc.date.available2026-07-07T06:55:52Z
dc.descriptionExtending our reduction construction in \cite{Hu} to the Hamiltonian action of a Poisson Lie group, we show that generalized Kähler reduction exists even when only one generalized complex structure in the pair is preserved by the group action. We show that the constructions in string theory of the (geometrical) $T$-duality with $H$-fluxes for principle bundles naturally arise as reductions of factorizable Poisson Lie group actions. In particular, the group may be non-abelian.
dc.descriptionLaTeX, 23 pages, xy-pic diagrams. Improved presentation and added references
dc.identifierhttps://arxiv.org/abs/math/0512634
dc.identifierhttp://arxiv.org/abs/math/0512634
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106424
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject53C15; 53D20
dc.titleReduction and duality in generalized geometry
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