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It is well-known that a Lie algebroid A is equivalently described by a degree 1 Q-manifold M.
Strongly homotopy Lie algebras
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Lie algebroids and homological vector fields
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Differential operators and actions of Lie algebroids
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Higher-dimensional algebra. VI. Lie 2-algebras
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Derived brackets
Y. Kosmann-Schwarzbach · 2004
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Dirac structures, momentum maps, and quasi-Poisson manifolds
H. Bursztyn and M. Crainic · 2005
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General theory of Lie groupoids and Lie algebroids
K. C. H. Mackenzie · 2005
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Some title containing the words “homotopy” and “symplectic”, e.g. this one
P. Ševera · 2005
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From topological field theory to deformation quantization and reduction
A. S. Cattaneo · 2006
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Supergroupoids, double structures, and equivariant cohomology, PhD thesis, University of California, Berkeley, 2006. arXiv:math.DG/0605356
R. A. Mehta · 2006
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Poisson actions up to homotopy and their quantization
P. Ševera · 2006
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Reduction of Courant algebroids via super-geometry
H. Bursztyn, A. S. Cattaneo, R. Metha, and M. Zambon
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On Morphic Actions and Integrability of LA-Groupoids
L. Stefanini · 2009
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O. Brahic and C. Zhu · 2010
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Higher Lie algebra actions on Lie algebroids
M. Zambon and C. Zhu · 2010
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Introduction to supergeometry
A. S. Cattaneo and F. Schätz · 2011
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Foliated groupoids and their infinitesimal data
M. Jotz and C. Ortiz · 2011
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A. S. Cattaneo and M. Zambon
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L ∞ L_{\infty} -algebra actions
R. A. Mehta and M. Zambon
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Letter to Alan Weinstein
P. Ševera
Cited in the paper.