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Title
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A proof of the Tsygan formality conjecture for chains
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Author
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Abstract
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| We extend the Kontsevich formality L∞-morphism to an L∞-morphism of L∞-modules over . The construction of the map is given in Kontsevich-type integrals. The conjecture that such an L∞-morphism exists is due to Boris Tsygan (Formality Conjecture for Chains, math. QA/9904132). As an application, we obtain an explicit formula for isomorphism is the Kontsevich deformation quantization of the algebra A by a Poisson bivector field, and {,} is the Poisson bracket). We also formulate a conjecture extending the Kontsevich theorem on cup-products to this context. The conjecture implies a generalization of the Duflo formula, and many other things. |
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Language
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English
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Source (journal)
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Advances in mathematics. - New York, N.Y.
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Publication
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New York, N.Y.
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2003
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ISSN
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0001-8708
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DOI
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10.1016/S0001-8708(02)00023-3
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Volume/pages
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179
:1
(2003)
, p. 7-37
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ISI
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000185640500002
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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