Formality of Cyclic Chains

Details Formality of Cyclic Chains Formality of Cyclic Chains

2008-04-24

arxiv.org/abs/0804.3887v1

Mathematics

Quantum Algebra

Scientific paper

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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