A gerbe for the elliptic gamma function
量子代数
2008-01-29 v1 复变函数
摘要
The identities for elliptic gamma functions discovered by A. Varchenko and one of us are generalized to an infinite set of identities for elliptic gamma functions associated to pairs of planes in 3-dimensional space. The language of stacks and gerbes gives a natural framework for a systematic description of these identities and their domain of validity. A triptic curve is the quotient of the complex plane by a subgroup of rank three (it is a stack). Our identities can be summarized by saying that elliptic gamma functions form a meromorphic section of a hermitian holomorphic abelian gerbe over the universal oriented triptic curve.
引用
@article{arxiv.math/0601337,
title = {A gerbe for the elliptic gamma function},
author = {Giovanni Felder and Andre Henriques and Carlo A. Rossi and Chenchang Zhu},
journal= {arXiv preprint arXiv:math/0601337},
year = {2008}
}
备注
54 pages