A Universal Property of the Groups Spin^c and Mp^c

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dc.creatorFuchs, Shay
dc.date2007-09-15
dc.date.accessioned2026-07-07T08:29:51Z
dc.date.available2026-07-07T08:29:51Z
dc.descriptionIt is well known that spinors on oriented Riemannian manifolds cannot be defined as sections of a vector bundle associated with the frame bundle. For this reason spin and spin^c structures are often introduced. In this paper we prove that spin^c structures have a universal property among all other structures that enable the construction of spinor bundles. We proceed to prove a similar result for metaplectic^c structures on symplectic manifolds.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0709.2429
dc.identifierhttp://arxiv.org/abs/0709.2429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138085
dc.subjectDifferential Geometry
dc.titleA Universal Property of the Groups Spin^c and Mp^c
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