English

Remarks on formal deformations and Batalin-Vilkovisky algebras

Algebraic Geometry 2007-05-23 v2

Abstract

This note consists of two parts. Part I is an exposition of (a part of) the V.Drinfeld's letter, [D]. The sheaf of algebras of polyvector fields on a Calabi-Yau manifold, equipped with the Schouten bracket, admits a structure of a Batalin-Vilkovisky algebra. This fact was probably first noticed by Z.Ran, [R]. Part II is devoted to some generalizations of this remark.

Keywords

Cite

@article{arxiv.math/9802006,
  title  = {Remarks on formal deformations and Batalin-Vilkovisky algebras},
  author = {Vadim Schechtman},
  journal= {arXiv preprint arXiv:math/9802006},
  year   = {2007}
}

Comments

29 pages, TeX. Minor changes made, and a reference added

R2 v1 2026-07-22T17:57:38.040Z