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This is the first of a series of papers about \emph{quantization} in the context of \emph{derived algebraic geometry}.
L. Illusie, Complexe cotangent et déformations I
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M. Demazure, P. Gabriel, Introduction to algebraic geometry and algebraic groups , North Holland Pub. Co. 1980
1980
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W. Goldman, The symplectic nature of fundamental groups of surfaces
1984
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S. Mukai, Symplectic structure of the moduli space of sheaves on an abelian or K3 surface , Invent. Math. 77
1984
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C. Kassel, Cyclic homology, comodules and mixed complexes , Journal of Algebra 107, (1987), 195-216
1987
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E. Getzler, Batalin-Vilkovisky algebras and two-dimensional topological field theories , Comm. Math. Phys. 159 (1994), 265-285
1994
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M. Alexandrov, M. Kontsevich, A. Schwarz, O. Zaboronsky, The geometry of the master equation and topological quantum field theory
1997
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D. Huybrechts, M. Lehn, The geometry of moduli spaces of sheaves
1997
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L. Jeffrey, Symplectic forms on moduli spaces of flat connections on 2 2 -manifolds , Geometric topology (Athens, GA, 1993), 268281, AMS/IP Stud. Adv. Math., 2.1, Amer. Math. Soc., Providence, RI, 1997
1997
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D. Tamarkin, B. Tsygan, Noncommutative differential calculus, homotopy BV algebras and formality conjectures , Methods Funct. Anal. Topology 6 (2000), no. 2, 85-100
2000
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C. Simpson, Algebraic aspects of higher nonabelian Hodge theory
2002
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D. Kaledin, On crepant resolutions of symplectic quotient singularities , Selecta Math. (N.S.) 9 (2003), no. 4, 529-555
2003
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M. Manetti, Lectures on deformations of complex manifolds , Rendiconti di Matematica 24, (2004), 1-183 (and arxiv:math/0507286)
2004
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B. Fu, A survey on symplectic singularities and symplectic resolutions , Ann. Math. Blaise Pascal 13
2006
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M.-A. Inaba, K. Iwasaki, M.-H. Saito, Moduli of Stable Parabolic Connections, Riemann- Hilbert correspondence and Geometry of Painlevé equation of type VI , Publ. Res. Inst. Math. Sci. 42
2006
Cited alongside, same era.
D. Kaledin, M. Lehn, Ch. Sorger, Singular symplectic moduli spaces , Invent. Math. 164 (2006), no. 3, 591-614
2006
Cited alongside, same era.
B. Toën, Champs affines , Selecta Math. (N.S.) 12
2006
Cited alongside, same era.
K. Behrend, B. Fantechi, Symmetric obstruction theories and Hilbert schemes of points on threefolds , Algebra & Number Theory, 2 (2008), 313-345
2008
Cited alongside, same era.
2008
Cited alongside, same era.
J. Bergner, A survey of ( ∞ , 1 ) (\infty,1) -categories
2010
Later among the works it cites.
J. Lurie, Formal Moduli Problems
2010
Later among the works it cites.
I. Mirkovic, S. Riche, Linear Koszul duality , Comp. Math. 146 (2010), 233-258
2010
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K. Costello, Notes on supersymmetric and holomorphic field theories in dimensions 2 2 and 4 4 , Preprint, October 2011, available at http://math.northwestern.edu/ ∼ \sim costello/sullivan.pdf
2011
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K. Costello, O. Gwilliam, Factorization algebras in perturbative quantum field theory , Preprint draft, 2011
2011
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M.-A. Inaba, Smoothness of the moduli space of complexes of coherent sheaves on an Abelian or a projective K3 surface
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B. Toën, G. Vezzosi, Homotopical algebraic geometry II: Geometric stacks and applications
2008
Cited alongside, same era.
K. Behrend, Donaldson-Thomas type invariants via microlocal geometry , Annals of Mathematics, vol. 170, no. 3 (2009) pp. 1307-1338
2009
Cited alongside, same era.
B. Keller, W. Lowen, On Hochschild cohomology and Morita deformations
2009
Cited alongside, same era.
A. Kuznetsov, D. Markushevich, Symplectic structures on moduli spaces of sheaves via the Atiyah class
2009
Cited alongside, same era.
J. Lurie, Higher Topos Theory
2009
Cited alongside, same era.
C. Simpson, Geometricity of the Hodge filtration on the ∞ \infty 8-stack of perfect complexes over X DR X_{\rm DR}
2009
Cited alongside, same era.
B. Toën, Higher and derived stacks: a global overview , Algebraic geometrySeattle 2005. Part 1, 435487, Proc. Sympos. Pure Math., 80
2009
Cited alongside, same era.
2011
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Y. Namikawa, Equivalence of symplectic singularities , preprint (2011), arXiv:1102.0865
2011
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2011
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2011
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C. Vizman, Induced differential forms on manifolds of functions , Archivum Mathematicum, vol. 47 (2011), pp. 201-215
2011
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C. Brav, V. Bussi, D. Dupont, D. Joyce, Shifted symplectic structures on derived schemes and critical loci
2012
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R. Pandharipande, R. Thomas, Almost closed 1-forms
2012
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B. Toën, Derived Azumaya Algebras and generators for twisted derived categories , Invent. Math. 189
2012
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