Vertex algebras and the formal loop space

Details Vertex algebras and the formal loop space Vertex algebras and the formal loop space

2001-07-20

arxiv.org/abs/math/0107143v3

Mathematics

Algebraic Geometry

AMS-TeX, 61 pages

Scientific paper

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).

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