Article (Scientific journals)
Equivalences of Higher Derived Brackets
Cattaneo, Alberto; Schatz, Florian
2008In Journal of Pure and Applied Algebra, 212 (11), p. 2450-2460
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Keywords :
coisotropic submanifolds; deformation theory
Abstract :
[en] This note elaborates on Th. Voronov’s construction of L-infinity-structures via higher derived brackets with a Maurer–Cartan element. It is shown that gauge equivalent Maurer–Cartan elements induce L-infinity-isomorphic structures. Applications in symplectic, Poisson and Dirac geometry are discussed.
Research center :
Institute of Mathematics, University of Zurich (Zurich, Switzerland)
Disciplines :
Mathematics
Author, co-author :
Cattaneo, Alberto;  University of Zurich > Insitute of Mathematics > Professor
Schatz, Florian ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Equivalences of Higher Derived Brackets
Publication date :
2008
Journal title :
Journal of Pure and Applied Algebra
ISSN :
1873-1376
Publisher :
Elsevier Science
Volume :
212
Issue :
11
Pages :
2450-2460
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
University of Zurich (Zurich, Switzerland)
Swiss National Research Foundation (SNF-Grant 20-113439)
European Union through the FP6 Marie Curie RTN ENIGMA
European Science Foundation through the MISGAM program
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