Journal article
The meta-abelian elliptic KZB associator and periods of Eisenstein series
- Abstract:
- We compute the image of Enriquez’ elliptic KZB associator in the (maximal) meta-abelian quotient of the fundamental Lie algebra of a once-punctured elliptic curve.Our main result is an explicit formula for this image in terms of Eichler integrals of Eisenstein series, and is analogous to Deligne’s computation of the depth one quotient of the Drinfeld associator.We also show how to retrieve Zagier’s extended period polynomials of Eisenstein series, as well as the values at zero of Beilinson–Levin’s elliptic polylogarithms from the meta-abelian elliptic KZB associator.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 600.7KB, Terms of use)
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- Publisher copy:
- 10.1007/s00029-017-0371-1
Authors
- Publisher:
- Springer
- Journal:
- Selecta Mathematica More from this journal
- Volume:
- 24
- Issue:
- 4
- Pages:
- 3217-3239
- Publication date:
- 2017-11-21
- Acceptance date:
- 2017-10-18
- DOI:
- EISSN:
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1420-9020
- ISSN:
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1022-1824
- Language:
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English
- Keywords:
- Pubs id:
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pubs:952694
- UUID:
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uuid:3c147ccc-3858-4a0c-a163-dd39bd4e24f0
- Local pid:
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pubs:952694
- Source identifiers:
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952694
- Deposit date:
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2018-12-14
Terms of use
- Copyright holder:
- Nils Matthes
- Copyright date:
- 2017
- Notes:
- © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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