dc.contributor.author | Enriquez, Benjamin | |
dc.contributor.author | Etingof, Pavel I | |
dc.date.accessioned | 2018-10-01T14:19:43Z | |
dc.date.available | 2018-10-01T14:19:43Z | |
dc.date.issued | 2017-12 | |
dc.identifier.issn | 1386-923X | |
dc.identifier.issn | 1572-9079 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/118298 | |
dc.description.abstract | Let n ≥ 1. The pro-unipotent completion of the pure braid group of n points on a genus 1 surface has been shown to be isomorphic to an explicit pro-unipotent group with graded Lie algebra using two types of tools: (a) minimal models (Bezrukavnikov), (b) the choice of a complex structure on the genus 1 surface, making it into an elliptic curve E, and an appropriate flat connection on the configuration space of n points in E (joint work of the authors with D. Calaque). Following a suggestion by P. Deligne, we give an interpretation of this isomorphism in the framework of the Riemann-Hilbert correspondence, using the total space E[superscript #] of an affine line bundle over E, which identifies with the moduli space of line bundles over E equipped with a flat connection. | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1502244) | en_US |
dc.publisher | Springer Netherlands | en_US |
dc.relation.isversionof | https://doi.org/10.1007/s10468-017-9754-4 | en_US |
dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
dc.source | Springer Netherlands | en_US |
dc.title | A Tannakian Interpretation of the Elliptic Infinitesimal Braid Lie Algebras | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Enriquez, Benjamin, and Pavel Etingof. “A Tannakian Interpretation of the Elliptic Infinitesimal Braid Lie Algebras.” Algebras and Representation Theory, vol. 21, no. 5, Oct. 2018, pp. 943–1002. | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Etingof, Pavel I | |
dc.relation.journal | Algebras and Representation Theory | en_US |
dc.eprint.version | Author's final manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2018-09-19T03:55:20Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | Springer Science+Business Media B.V., part of Springer Nature | |
dspace.orderedauthors | Enriquez, Benjamin; Etingof, Pavel | en_US |
dspace.embargo.terms | N | en |
dc.identifier.orcid | https://orcid.org/0000-0002-0710-1416 | |
mit.license | OPEN_ACCESS_POLICY | en_US |