| Andrew Stacey | |
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home :: Research :: Preprints :: dirac Thu, 5th May 2005 (Research :: Preprints) The Geometry of the Loop Space and a Construction of a Dirac Operator (PDF, PS) We construct a natural inner product on the cotangent spaces of the free loop space of a Riemannian manifold. As an application of, and motivation for, this construction we show how to construct a Dirac operator on the loop space of a string manifold.
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