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Using the AKSZ prescription we construct 2D and 3D topological field theories associated to generalized complex manifolds.
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N. Ikeda, “Three dimensional topological field theory induced from generalized complex structure,” Int. J. Mod. Phys. A 22
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A. Kapustin and Y. Li, “Topological sigma-models with H-flux and twisted generalized complex manifolds,” Adv. Theor. Math. Phys. 11
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Andrei Losev, ”BV formalism and quantum homotopical structures.” Lectures at GAP3, Perugia, 2005
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J. Grabowski, “Courant-Nijenhuis tensors and generalized geometries,” Monograf?as de la Real Academia de Ciencias de Zaragoza
2006
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F. Bonechi and M. Zabzine, “Lie algebroids, Lie groupoids and TFT,” J. Geom. Phys. 57
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C. A. Abad and M. Crainic, “Representations up to homotopy of Lie algebroids,” arXiv.org:0901.0319
Cited in the paper.
F. Bonechi, P. Mnëv and M. Zabzine, “Finite dimensional AKSZ-BV theories,” [arXiv:0903.0995 [hep-th]
Cited in the paper.
H. Bursztyn, D. I. Ponte and P. Severa, “Courant morphisms and moment maps,” [arXiv::0801.1663 [math.SG]
Cited in the paper.
A. Cattaneo, P. Mnëv, J. Qiu and M. Zabzine, work in progress
Cited in the paper.
2007
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2008
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