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A Universal A(infinity) Structure on BV Algebras with Multiple Zeta Value Coefficients
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 1
2016 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 24, 7414-7470 p.Article in journal (Refereed) Published
Abstract [en]

We construct an explicit and universal A-infinity deformation of Batalin-Vilkovisky algebras, with all coefficients expressed as rational sums of multiple zeta values. If the Batalin-Vilkovisky algebra that we start with is cyclic, then so is the A-infinity deformation. Moreover, the adjoint action of the odd Poisson bracket acts by derivations of the A-infinity structure. The construction conjecturally defines a new presentation of the Grothendieck-Teichmuller Lie algebra.

Place, publisher, year, edition, pages
2016. no 24, 7414-7470 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-140467DOI: 10.1093/imrn/rnw004ISI: 000392188600003OAI: oai:DiVA.org:su-140467DiVA: diva2:1079409
Available from: 2017-03-08 Created: 2017-03-08 Last updated: 2017-03-08Bibliographically approved

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