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On L ∞-Morphisms of Cyclic Chains

Sergio Cattaneo, Alberto ; Felder, Giovanni ; Willwacher, Thomas

In: Letters in Mathematical Physics, 2009, vol. 90, no. 1-3, p. 85-101

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    Title
    • On L ∞-Morphisms of Cyclic Chains
    Author
    • Sergio Cattaneo, Alberto. Institute of Mathematics, University of Zurich, 8057, Zurich, Switzerland
    • Felder, Giovanni. Department of Mathematics, ETH Zurich, 8092, Zurich, Switzerland
    • Willwacher, Thomas. Department of Mathematics, ETH Zurich, 8092, Zurich, Switzerland
    Document Type
    • Postprint
    OAI-PMH Identifier
    • oai:doc.rero.ch:312984
    Summary
    Recently the first two authors (Cattaneo and Felder in 2008) constructed an L ∞-morphism using the S 1-equivariant version of the Poisson Sigma Model. Its role in the deformation quantization was not entirely clear. We give here a "good” interpretation and show that the resulting formality statement is equivalent to formality on cyclic chains as conjectured by Tsygan and proved recently by several authors (Dolgushev etal. in 2008; Willwacher in 2008)