The co-Riemannian Structure of Smooth Loop Spaces

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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.
30 pages. Together with arXiv:0809.3401 this replaces math.DG/0505077

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Differential Geometry, 58B20 (Primary); 58D15, 53C15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/169391

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.3108
 http://arxiv.org/abs/0809.3108

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arXiv