A gerbe for the elliptic gamma function

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dc.creatorFelder, Giovanni
dc.creatorHenriques, Andre
dc.creatorRossi, Carlo A.
dc.creatorZhu, Chenchang
dc.date2006-01-13
dc.date.accessioned2026-07-07T08:56:57Z
dc.date.available2026-07-07T08:56:57Z
dc.descriptionThe 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.
dc.description54 pages
dc.identifierhttps://arxiv.org/abs/math/0601337
dc.identifierhttp://arxiv.org/abs/math/0601337
dc.identifierDuke Math. J. 141(2008), 1-74
dc.identifierdoi:10.1215/S0012-7094-08-14111-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146793
dc.subjectQuantum Algebra
dc.subjectComplex Variables
dc.subject33E30; 20L05, 57S25
dc.titleA gerbe for the elliptic gamma function
dc.typetext

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