How to Construct a Dirac Operator in Infinite Dimensions
Differential Geometry
2008-09-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0809.3104,
title = {How to Construct a Dirac Operator in Infinite Dimensions},
author = {Andrew Stacey},
journal= {arXiv preprint arXiv:0809.3104},
year = {2008}
}
Comments
10 pages. Together with arXiv:0809.3108 this replaces math.DG/0505077