Andrew Stacey


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Andrew Stacey
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Andrew Stacey


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Thu, 18th Sep 2008 (Research :: Preprints)

The Co-Riemannian Structure of Smooth Loop Spaces (PDF or PS)

We construct a natural co-Riemannian structure on the manifold of smooth loops in a Riemannian manifold. We show that the smooth loop space of a string manifold is a per-Hilbert-Schmidt locally equivalent co-spin manifold and thus admits a Dirac operator.


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Thu, 18th Sep 2008