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Gravity formality
Stockholm University, Faculty of Science, Department of Mathematics.
2018 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 331, p. 439-483Article in journal (Refereed) Published
Abstract [en]

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 quasiisomorphism with explicit local formulas. For this, we develop operadic tools related to mixed complexes and cyclic homology and prove that the operad M(O )of natural operations on cyclic operators is formal and hence quasi-isomorphic to the Gravity operad.

Place, publisher, year, edition, pages
2018. Vol. 331, p. 439-483
Keywords [en]
Kontsevich formality, Gravity operad, Cyclic homology, Mixed complexes
National Category
Algebra and Logic Geometry
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-164881DOI: 10.1016/j.aim.2018.04.019ISI: 000434747900011OAI: oai:DiVA.org:su-164881DiVA, id: diva2:1280598
Available from: 2019-01-20 Created: 2019-01-20 Last updated: 2019-01-29Bibliographically approved

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