How to Construct a Dirac Operator in Infinite Dimensions

Details How to Construct a Dirac Operator in Infinite Dimensions How to Construct a Dirac Operator in Infinite Dimensions

2008-09-18

arxiv.org/abs/0809.3104v1

Mathematics

Differential Geometry

10 pages. Together with arXiv:0809.3108 this replaces math.DG/0505077

Scientific paper

We define the notion of a co-Riemannian structure and show how it can be used
to define the Dirac operator on an appropriate infinite dimensional manifold.
In particular, this approach works for the smooth loop space of a so-called
string manifold.

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