Vertex algebras and the formal loop space
Abstract
We introduce an algebro-geometric version of the free loop space for any scheme X of finite type. This is an ind-scheme of ind-infinite type containing the scheme of formal germs of curves on X. Then, we give a direct geometric construction, for smooth X, of the chiral de Rham complex of X (introduced by Malikov, Schechtman and Vaintrob).
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- July 2001
- DOI:
- arXiv:
- arXiv:math/0107143
- Bibcode:
- 2001math......7143K
- Keywords:
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- Algebraic Geometry
- E-Print:
- AMS-TeX, 61 pages