Grothendieck-Teichmueller and Batalin-Vilkovisky

Merkulov, Sergei; Willwacher, Thomas

doi:10.1007/s11005-014-0692-3

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Article (Scientific journals)

Grothendieck-Teichmueller and Batalin-Vilkovisky

Merkulov, Sergei; Willwacher, Thomas

2014 • In Letters in Mathematical Physics, 104 (5), p. 625-634

Peer Reviewed verified by ORBi

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https://hdl.handle.net/10993/19011

DOI
10.1007/s11005-014-0692-3

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Keywords :

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.

Disciplines :

Mathematics

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

External co-authors :

yes

Language :

English

Title :

Grothendieck-Teichmueller and Batalin-Vilkovisky

Publication date :

2014

Journal title :

Letters in Mathematical Physics

ISSN :

1573-0530

Publisher :

Springer Science & Business Media B.V., Dordrecht, Netherlands

Volume :

104

Issue :

Pages :

625-634

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBilu :

since 07 December 2014

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