2007/09/15 by Shay Fuchs, Fuchs, Shay
Mathematics · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG
paper · pdf · doi:10.48550/arxiv.0709.2429
12 pages
arxiv created 2007/09/15 · arxiv updated 2009/12/01
It 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 spinc structures are often introduced. In this paper we prove that spinc structures have a universal property among all other structures that enable the construction of spinor bundles. We proceed to prove a similar result for metaplecticc structures on symplectic manifolds.