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We first extend the notion of connection in the context of Courant algebroids to obtain a new characterization of generalized Kaehler geometry.
A. Lichnerowicz, “Les variétés de Poisson et leurs algèbres de Lie associées,” J. Differential Geometry
1977
Earlier work this paper cites.
N. Hitchin, “The self-duality equations on a Riemann surface,” Proc. London Math. Soc. (3)
1987
Earlier work this paper cites.
T. J. Courant, “Dirac manifolds,” Trans. Amer. Math. Soc
1990
Earlier work this paper cites.
1991
Earlier work this paper cites.
C. T. Simpson, “Higgs bundles and local systems,” Inst. Hautes Études Sci. Publ. Math
1992
Earlier work this paper cites.
Birkhäuser Boston Inc., Boston, MA, 1993
J.-L. Brylinski, Loop spaces, characteristic classes and geometric quantization , vol. 107 of Progress in Mathematics · 1993
Earlier work this paper cites.
A. I. Bondal and A. E. Polishchuk, “Homological properties of associative algebras: the method of helices,” Izv. Ross. Akad. Nauk Ser. Mat
1993
Earlier work this paper cites.
Z.-J. Liu, A. Weinstein, and P. Xu, “Manin triples for Lie bialgebroids,” J. Differential Geom
1997
Earlier work this paper cites.
A. Weinstein, “The modular automorphism group of a Poisson manifold,” J. Geom. Phys
1997
Earlier work this paper cites.
A. Polishchuk, “Algebraic geometry of Poisson brackets,” J. Math. Sci. (New York)
1997
Cited alongside, same era.
S. Evens, J.-H. Lu, and A. Weinstein, “Transverse measures, the modular class and a cohomology pairing for Lie algebroids,” Quart. J. Math. Oxford Ser. (2)
1999
Cited alongside, same era.
V. Apostolov, P. Gauduchon, and G. Grantcharov, “Bi-Hermitian structures on complex surfaces,” Proc. London Math. Soc. (3)
1999
Cited alongside, same era.
P. Ševera, “Letters to A. Weinstein concerning Courant algebroids.” 1998-2000
2000
Cited alongside, same era.
J. T. Stafford and M. van den Bergh, “Noncommutative curves and noncommutative surfaces,” Bull. Amer. Math. Soc. (N.S.)
2001
Cited alongside, same era.
Amer. Math. Soc., Providence, RI, 2002
arXiv:math/0401221v1
M. Gualtieri, Generalized complex geometry · 2004
Later among the works it cites.
A. Kapustin, “Topological strings on noncommutative manifolds,” Int. J. Geom. Methods Mod. Phys
2004
Later among the works it cites.
N. Hitchin, “Brackets, forms and invariant functionals,” Asian J. Math
2006
Later among the works it cites.
N. Hitchin, “Instantons, Poisson structures and generalized Kähler geometry,” Comm. Math. Phys
2006
Later among the works it cites.
N. Hitchin, “Bihermitian metrics on del Pezzo surfaces,” J. Symplectic Geom
2007
Closest in time.
2007
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D. Roytenberg, “On the structure of graded symplectic supermanifolds and Courant algebroids,” in Quantization, Poisson brackets and beyond (Manchester, 2001) · 2002
Cited alongside, same era.
N. Hitchin, “Generalized Calabi-Yau manifolds,” Q. J. Math
2003
Cited alongside, same era.
H. Bursztyn and O. Radko, “Gauge equivalence of Dirac structures and symplectic groupoids,” Ann. Inst. Fourier (Grenoble)
2003
Cited alongside, same era.
A. Kapustin and D. Orlov, “Remarks on A-branes, mirror symmetry, and the Fukaya category,” J. Geom. Phys
2003
Cited alongside, same era.
M. Gualtieri, “Generalized complex geometry,” Ann. of Math, to appear
Cited in the paper.
Closest in time.
I. T. Ellwood, “NS-NS fluxes in Hitchin’s generalized geometry,” JHEP
2007
Closest in time.
U. Lindström, M. Roček, R. von Unge, and M. Zabzine, “Generalized Kähler manifolds and off-shell supersymmetry,” Comm. Math. Phys
2007
Closest in time.