Andrew Stacey


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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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Last modified on Thu, 5th May 2005