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arXiv · 0804.3887

Formality of Cyclic Chains

Thomas Willwacher
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Abstract

We prove a conjecture raised by Tsygan, namely the existence of an L-infinity-quasiisomorphism of L-infinity-modules between the cyclic chain complex of smooth functions on a manifold and the differential forms on that manifold. Concretely, we prove that the obvious u-linear extension of Shoikhet's morphism of Hochschild chains solves Tsygan's conjecture.

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Thomas Willwacher. 2008-04-24. Formality of Cyclic Chains. https://arxiv.org/abs/0804.3887

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