Publication: Effective Batalin-Vilkovisky theories, equivariant configuration spaces and cyclic chains
Effective Batalin-Vilkovisky theories, equivariant configuration spaces and cyclic chains
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Cattaneo, A. S., & Felder, G. (2011). Effective Batalin-Vilkovisky theories, equivariant configuration spaces and cyclic chains. In A. S. Cattaneo, A. Giaquinto, & P. Xu (Eds.), LinkHigher structures in geometry and physics : In honor of Murray Gerstenhaber and Jim Stasheff (No. 287; Issue 287, pp. 111–137). Birkhäuser. https://doi.org/10.1007/978-0-8176-4735-3
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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 through certain correlation functions of a t
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- Cattaneo, A S
- Felder, G
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Cattaneo, A. S., & Felder, G. (2011). Effective Batalin-Vilkovisky theories, equivariant configuration spaces and cyclic chains. In A. S. Cattaneo, A. Giaquinto, & P. Xu (Eds.), LinkHigher structures in geometry and physics : In honor of Murray Gerstenhaber and Jim Stasheff (No. 287; Issue 287, pp. 111–137). Birkhäuser. https://doi.org/10.1007/978-0-8176-4735-3
