A gerbe for the elliptic gamma function

Details A gerbe for the elliptic gamma function A gerbe for the elliptic gamma function

2006-01-13

arxiv.org/abs/math/0601337v1

Duke Math. J. 141(2008), 1-74

Mathematics

Quantum Algebra

54 pages

Scientific paper

10.1215/S0012-7094-08-14111-0

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.

Affiliated with

Also associated with

No associations

Rating

A gerbe for the elliptic gamma function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A gerbe for the elliptic gamma function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A gerbe for the elliptic gamma function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452455