Grothendieck-Teichmueller and Batalin-Vilkovisky

Reference : Grothendieck-Teichmueller and Batalin-Vilkovisky


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/19011

Title :	Grothendieck-Teichmueller and Batalin-Vilkovisky
Language :	English
Author, co-author :	Merkulov, Sergei [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Willwacher, Thomas [University of Zurich > Institute of Mathematics]
Publication date :	2014
Journal title :	Letters in Mathematical Physics
Publisher :	Springer Science & Business Media B.V.
Volume :	104
Issue/season :	5
Pages :	625-634
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0377-9017
e-ISSN :	1573-0530
City :	Dordrecht
Country :	The Netherlands
Keywords :	[en] BV formalism ; odd symplectic manifold ; Grothendieck-Teichmueller group
Abstract :	[en] It is proven that, for any affine supermanifold M equipped with a constant odd symplectic structure, there is a universal action (up to homotopy) of the Grothendieck-Teichmueller Lie algebra grt on the set of quantum BV structures (i. e.\ solutions of the quantum master equation) on M.
Permalink :	http://hdl.handle.net/10993/19011

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