Effective Batalin–Vilkovisky Theories, Equivariant Configuration Spaces and Cyclic Chains

@inproceedings{Cattaneo2008EffectiveBT,
  title={Effective Batalin–Vilkovisky Theories, Equivariant Configuration Spaces and Cyclic Chains},
  author={A. Cattaneo and G. Felder},
  year={2008}
}
The celebrated Kontsevich formality theorem [M. Kontsevich, Lett. Math. Phys. 66 (2003), no. 3, 157--216; MR2062626 (2005i:53122)] states that the differential graded Lie algebra gG of polydifferential operators on a smooth manifold M is formal, i.e., it is quasi-isomorphic to its cohomology which is, in turn, identified with the Schouten Lie algebra gS of polyvector fields on M. Moreover, this quasi-isomorphism is realized by a certain L∞ map from gS to gG whose components are expressed… Expand

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