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arXiv · 1707.00638

Gravity Formality

Ricardo Campos·Benjamin C. Ward
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Abstract

We show that Willwacher's cyclic formality theorem can be extended to preserve natural Gravity operations on cyclic multivector fields and cyclic multidifferential operators. We express this in terms of a homotopy Gravity quasi-isomorphism with explicit local formulas. For this, we develop operadic tools related to mixed complexes and cyclic homology and prove that the operad $\mathsf M_\circlearrowleft$ of natural operations on cyclic operators is formal and hence quasi-isomorphic to the Gravity operad.

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Ricardo Campos, Benjamin C. Ward. 2017-07-03. Gravity Formality. https://arxiv.org/abs/1707.00638

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