English

Grothendieck-Teichm\"uller and Batalin-Vilkovisky

Quantum Algebra 2015-05-20 v3

Abstract

It is proven that, for any affine supermanifold MM equipped with a constant odd symplectic structure, there is a universal action (up to homotopy) of the Grothendieck-Teichm\"uller Lie algebra grt1\mathfrak{grt}_1 on the set of quantum BV structures (i. e.\ solutions of the quantum master equation) on MM.

Keywords

Cite

@article{arxiv.1012.2467,
  title  = {Grothendieck-Teichm\"uller and Batalin-Vilkovisky},
  author = {Sergei Merkulov and Thomas Willwacher},
  journal= {arXiv preprint arXiv:1012.2467},
  year   = {2015}
}
R2 v1 2026-06-21T16:57:05.355Z