English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we complete the proof of Caldararu's conjecture on thecompatibility between the module structures on differential forms overpoly-vector fields and on Hochschild homology over Hochschild cohomology. Infact we show that twisting with the square root of the Todd class gives anisomorphism of precalculi between these pairs of objects.  Our methods use formal geometry to globalize the local formalityquasi-isomorphisms introduced by Kontsevich and Shoikhet (the existence of thelatter was conjectured by Tsygan). We also rely on the fact - recently provedby the first two authors - that Shoikhet's quasi-isomorphism is compatible withcap product after twisting with a Maurer-Cartan element.

Caldararu's conjecture and Tsygan's formality