Reduction of generalized Calabi-Yau structures

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dc.creatorNitta, Yasufumi
dc.date2006-11-12
dc.date2007-03-23
dc.date.accessioned2026-07-07T07:53:14Z
dc.date.available2026-07-07T07:53:14Z
dc.descriptionA generalized Calabi-Yau structure is a geometrical structure on a manifold which generalizes both the concept of the Calabi-Yau structure and that of the symplectic one. In view of a result of Lin and Tolman in generalized complex cases, we introduce in this paper the notion of a generalized moment map for a compact Lie group action on a generalized Calabi-Yau manifold and construct a reduced generalized Calabi-Yau structure on the reduced space. As an application, we show some relationship between generalized moment maps and the Bergman kernels, and prove the Duistermaat-Heckman formula for a torus action on a generalized Calabi-Yau manifold.
dc.description14 pages, to appear in J. Math. Soc. Japan, Vol 59, no. 4(2007)
dc.identifierhttps://arxiv.org/abs/math/0611341
dc.identifierhttp://arxiv.org/abs/math/0611341
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126177
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject37J15; 14J32
dc.titleReduction of generalized Calabi-Yau structures
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