Journal article
A gerbe for the elliptic gamma function
- 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
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 587.0KB, Terms of use)
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- Publisher copy:
- 10.1215/S0012-7094-08-14111-0
Authors
- Publisher:
- Duke University Press
- Journal:
- Duke Mathematical Journal More from this journal
- Volume:
- 141
- Issue:
- 1
- Pages:
- 1-74
- Publication date:
- 2007-12-04
- DOI:
- EISSN:
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1547-7398
- ISSN:
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0012-7094
- Keywords:
- Pubs id:
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pubs:693825
- UUID:
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uuid:8c728bbe-3e8c-4b4d-8c28-d68c5220a735
- Local pid:
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pubs:693825
- Source identifiers:
-
693825
- Deposit date:
-
2017-05-08
Terms of use
- Copyright holder:
- Felder et al
- Copyright date:
- 2007
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Duke University Press at: https://doi.org/10.1215/S0012-7094-08-14111-0
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