Differential Geometry of Relative Gerbes

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dc.creatorShahbazi, Zohreh
dc.date2005-05-12
dc.date.accessioned2026-07-07T05:19:49Z
dc.date.available2026-07-07T05:19:49Z
dc.descriptionThis thesis introduces the notion of "relative gerbes" for smooth maps of manifolds, and discusses their differential geometry. The equivalence classes of relative gerbes are classified by the relative integral cohomology in degree three. Furthermore, by using the concept of relative gerbes, the pre-quantization of Lie group-valued moment maps is developed, and its equivalence with the pre-quantization of infinite-dimensional Hamiltonian loop group spaces is established.
dc.description83 pages, 1 figure, Ph.D. Thesis Dissertation
dc.identifierhttps://arxiv.org/abs/math/0505237
dc.identifierhttp://arxiv.org/abs/math/0505237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75160
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53D02
dc.titleDifferential Geometry of Relative Gerbes
dc.typetext

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