2007/04/30 by Alberto S. Cattaneo, Florian Schaetz, Florian Schätz · 30 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Bracket #Dirac (video compression format) #Element (criminal law) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Lie algebra #Mathematics #Nonlinear Waves and Solitons #Physics #Poisson algebra #Poisson bracket #Pure mathematics #Symplectic geometry #math.DG #math.QA #math.SG
paper · pdf · doi:10.1016/j.jpaa.2008.03.013
published in Journal of Pure and Applied Algebra 212(11), 2450-2460 (Elsevier BV) · 16 pages; minor changes; corrected typos; to appear in JPAA
arxiv created 2008/05/07 · openalex publication_date 2008/05/14 · arxiv updated 2020/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This note elaborates on Th. Voronov’s construction [Th. Voronov, Higher derived brackets and homotopy algebras, J. Pure Appl. Algebra 202 (1–3) (2005) 133–153; Th. Voronov, Higher derived brackets for arbitrary derivations, Travaux Math. XVI (2005) 163–186] of L∞-structures via higher derived brackets with a Maurer–Cartan element. It is shown that gauge equivalent Maurer–Cartan elements induce L∞-isomorphic structures. Applications in symplectic, Poisson and Dirac geometry are discussed.