Vertex algebras and the formal loop space
代数几何
2007-05-23 v3
摘要
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).
引用
@article{arxiv.math/0107143,
title = {Vertex algebras and the formal loop space},
author = {M. Kapranov and E. Vasserot},
journal= {arXiv preprint arXiv:math/0107143},
year = {2007}
}
备注
AMS-TeX, 61 pages