English

Cyclic model for the dg dual of the BV operad

Quantum Algebra 2023-11-16 v1 Algebraic Topology

Abstract

We describe a new small cyclic operad model QBV for the dg dual operad of the Batalin-Vilkovisky operad. As an application, we show that the Feynman transform of BV is quasi-isomorphic to the amputated Feynman transform of the dg dual, in complementary weights and degrees.

Keywords

Cite

@article{arxiv.2311.09037,
  title  = {Cyclic model for the dg dual of the BV operad},
  author = {Thomas Willwacher},
  journal= {arXiv preprint arXiv:2311.09037},
  year   = {2023}
}