English

Twisting Elements in Homotopy G-algebras

Algebraic Topology 2007-09-21 v1

Abstract

We study the notion of twisting elements da=a1ada=a\cup_1a with respect to 1\cup_1 product when it is a part of homotopy Gerstenhaber algebra structure. This allows to bring to one context the two classical concepts, the theory of deformation of algebras of M. Gerstenhaber, and A()A(\infty)-algebras of J. Stasheff.

Keywords

Cite

@article{arxiv.0709.3130,
  title  = {Twisting Elements in Homotopy G-algebras},
  author = {Tornike Kadeishvili},
  journal= {arXiv preprint arXiv:0709.3130},
  year   = {2007}
}

Comments

24 pages

R2 v1 2026-06-21T09:19:19.489Z