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arXiv · 0812.5056

On L-infinity morphisms of cyclic chains

Alberto S. Cattaneo·Giovanni Felder·Thomas Willwacher
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Abstract

Recently the first two authors constructed an L-infinity morphism using the S^1-equivariant version of the Poisson Sigma Model (PSM). Its role in 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.

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Alberto S. Cattaneo, Giovanni Felder, Thomas Willwacher. 2008-12-30. On L-infinity morphisms of cyclic chains. https://doi.org/10.1007/s11005-009-0338-z

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