English

On quantizable odd Lie bialgebras

Quantum Algebra 2016-08-24 v2

Abstract

Motivated by the universal obstruction to the deformation quantization of Poisson structures in infinite dimensions we introduce the notion of quantizable odd Lie bialgebra. The main result of the paper is a construction of a highly non-trivial minimal resolution of the properad governing such Lie bialgebras, and its link with the theory of so called quantizable Poisson structures.

Keywords

Cite

@article{arxiv.1512.04710,
  title  = {On quantizable odd Lie bialgebras},
  author = {Anton Khoroshkin and Sergei Merkulov and Thomas Willwacher},
  journal= {arXiv preprint arXiv:1512.04710},
  year   = {2016}
}

Comments

A new reference and more details are added

R2 v1 2026-06-22T12:10:03.878Z