Title	Linearization of the Goldman-Turaev BV algebra using Kashiwara-Vergne theory
Creator	Naef, Florian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-05T17:11
Description	Using local intersections, Goldman and Turaev defined a BV operator on the exterior algebra of homotopy classes of loops on a surface. On a genus zero surface with three boundary components the linearization problem of this structure is equivalent to the Kashiwara-Vergne problem in Lie theory. Motivated by this result a generalization of the Kashiwara-Vergne problem in higher genera is proposed and solutions are constructed in analogy with elliptic associators. This is joint work with A. Alekseev, N. Kawazumi and Y. Kuno.
Extent	34 minutes
Subject	Mathematics; Category theory; homological algebra; Quantum theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Geneva
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-12-03
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0361144
URI	http://hdl.handle.net/2429/63793
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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