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This paper aims at setting out the basics of $\mathbb{Z}$-graded manifolds theory.
Supermanifolds
F. A. Berezin and D. A. Leĭtes · 1975
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Graded manifolds, graded Lie theory, and prequantization
B. Kostant · 1977
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Introduction to SH Lie algebras for physicists
T. Lada and J. Stasheff · 1993
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Strongly homotopy lie algebras
T. Lada and M. Markl · 1995
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Lie algebroids and homological vector fields
A. Yu. Vaĭntrob · 1997
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Notes on supersymmetry (following Joseph Bernstein)
P. Deligne and J. W. Morgan · 1999
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On the structure of graded symplectic supermanifolds and Courant algebroids
D. Roytenberg · 2002
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Graded manifolds and Drinfeld doubles for Lie bialgebroids
Th. Voronov · 2002
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Deformation quantization of Poisson manifolds
M. Kontsevich · 2003
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Derived brackets
Y. Kosmann-Schwarzbach · 2004
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Supersymmetry for mathematicians: an introduction
V. S. Varadarajan · 2004
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Some title containing the words “homotopy” and “symplectic”, e.g. this one
P. Ševera · 2005
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Higher derived brackets and homotopy algebras
Th. Voronov · 2005
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Higher derived brackets for arbitrary derivations
Th. Voronov · 2005
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Supergroupoids, double structures, and equivariant cohomology
Mathematical foundations of supersymmetry
C. Carmeli, L. Caston, and R. Fioresi · 2011
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Introduction to supergeometry
A. S. Cattaneo and F. Schätz · 2011
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Variational Lie algebroids and homological evolutionary vector fields
A. V. Kiselev and J. W. van de Leur · 2011
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Introduction to graded geometry, Batalin-Vilkovisky formalism and their applications
J. Qiu and M. Zabzine · 2011
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On the category of Lie n n -algebroids
G. Bonavolontà and N. Poncin · 2013
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The Atiyah class of a dg-vector bundle
R. A. Mehta, M. Stiénon, and P. Xu · 2015
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R. A. Mehta · 2006
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L ∞ L_{\infty} -algebra connections and applications to String- and Chern-Simons n n -transport
H. Sati, U. Schreiber, and J. Stasheff · 2009
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P. Batakidis and Y. Voglaire · 2016
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The category of ℤ 2 n \mathbb{Z}^{n}_{2} -supermanifolds
T. Covolo, J. Grabowski, and N. Poncin · 2016
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