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15 January 2008 A gerbe for the elliptic gamma function
Giovanni Felder, André Henriques, Carlo A. Rossi, Chenchang Zhu
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Duke Math. J. 141(1): 1-74 (15 January 2008). DOI: 10.1215/S0012-7094-08-14111-0

Abstract

The identities for elliptic gamma functions discovered by Felder and Varchenko [8] 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

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Giovanni Felder. André Henriques. Carlo A. Rossi. Chenchang Zhu. "A gerbe for the elliptic gamma function." Duke Math. J. 141 (1) 1 - 74, 15 January 2008. https://doi.org/10.1215/S0012-7094-08-14111-0

Information

Published: 15 January 2008
First available in Project Euclid: 4 December 2007

zbMATH: 1130.33010
MathSciNet: MR2372147
Digital Object Identifier: 10.1215/S0012-7094-08-14111-0

Subjects:
Primary: 33E30
Secondary: 20L05, 57S25

Rights: Copyright © 2008 Duke University Press

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Vol.141 • No. 1 • 15 January 2008
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