A Universal Property of the Groups Spin^c and Mp^c
Differential Geometry
2007-09-18 v1
Abstract
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 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.
Keywords
Cite
@article{arxiv.0709.2429,
title = {A Universal Property of the Groups Spin^c and Mp^c},
author = {Shay Fuchs},
journal= {arXiv preprint arXiv:0709.2429},
year = {2007}
}
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12 pages