Formality of Cyclic Chains
Quantum Algebra
2014-01-16 v1
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.
Keywords
Cite
@article{arxiv.0804.3887,
title = {Formality of Cyclic Chains},
author = {Thomas Willwacher},
journal= {arXiv preprint arXiv:0804.3887},
year = {2014}
}