English

On L-infinity morphisms of cyclic chains

Rings and Algebras 2020-03-16 v1 Quantum Algebra

Abstract

Recently the first two authors constructed an L-infinity morphism using the S^1-equivariant version of the Poisson Sigma Model (PSM). Its role in deformation quantization was not entirely clear. We give here a "good" interpretation and show that the resulting formality statement is equivalent to formality on cyclic chains as conjectured by Tsygan and proved recently by several authors.

Cite

@article{arxiv.0812.5056,
  title  = {On L-infinity morphisms of cyclic chains},
  author = {Alberto S. Cattaneo and Giovanni Felder and Thomas Willwacher},
  journal= {arXiv preprint arXiv:0812.5056},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-21T11:56:36.571Z