Author:
Calaque Damien,Felder Giovanni,Ferrario Andrea,Rossi Carlo A.
Abstract
AbstractWe prove a version of Kontsevich’s formality theorem for two subspaces (branes) of a vector space X. The result implies, in particular, that the Kontsevich deformation quantizations of S(X*) and ∧(X) associated with a quadratic Poisson structure are Koszul dual. This answers an open question in Shoikhet’s recent paper on Koszul duality in deformation quantization.
Subject
Algebra and Number Theory
Reference21 articles.
1. Infinity-inner-products on A-infinity-algebras;Tradler;J. Homotopy Relat. Struct.,2008
2. [16] Shoikhet B. , Koszul duality in deformation quantization and Tamarkin’s approach to Kontsevich formality, Preprint (2008), arXiv:0805.0174, Adv. Math., to appear.
3. Deformation Quantization of Poisson Manifolds
4. A∞-algebras and the cyclic bar complex;Getzler;Illinois J. Math.,1990
5. A formality theorem for Hochschild chains
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