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arXiv · 1501.02916

A universal A-infinity structure on Batalin-Vilkovisky algebras with multiple zeta value coefficients

Johan Alm
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Abstract

We explicitly construct a 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-Teichmueller Lie algebra.

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BibTeXRIS

Johan Alm. 2018-08-23. A universal A-infinity structure on Batalin-Vilkovisky algebras with multiple zeta value coefficients. https://arxiv.org/abs/1501.02916

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