Line Bundles over Loop Spaces
The theme of this chapter is that a Dixmier-Douady sheaf of groupoids with connective structure over a manifold M leads naturally to a line bundle over the free loop space LM. This is in complete analogy to the well-known fact that a line bundle with connection over M leads to a function over LM, its holonomy.
KeywordsLine Bundle Isomorphism Class Boundary Component Central Extension Loop Space
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