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We describe a canonical reduction of AKSZ-BV theories to the cohomology of the source manifold.
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A. S. Cattaneo, “From Topological Field Theory to Deformation Quantization and Reduction,” Proceedings of ICM 2006, Vol. III, 339-365 (European Mathematical Society, 2006)
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D. Roytenberg, “AKSZ-BV formalism and Courant algebroid-induced topological field theories,” Lett. Math. Phys. 79
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C. Hofman and J. S. Park, “BV quantization of topological open membranes,” Commun. Math. Phys. 249
2004
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R. Zucchini, “A sigma model field theoretic realization of Hitchin’s generalized complex geometry,” JHEP 0411
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K. J. Costello, “Renormalisation and the Batalin-Vilkovisky formalism,” arXiv:0706.1533 [math.QA]
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C. Hofman and J. S. Park, “Topological open membranes,” arXiv:hep-th/0209148
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O. M. Khudaverdian, “Batalin-Vilkovisky formalism and odd symplectic geometry,” arXiv:hep-th/9508174
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P. Mnev, “Notes on simplicial BF theory,” arXiv:hep-th/0610326
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2009
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A. Cattaneo, P. Mnev, Remarks on Chern-Simons invariants
2045
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