Twisting Elements in Homotopy G-algebras

Details Twisting Elements in Homotopy G-algebras Twisting Elements in Homotopy G-algebras

2007-09-20

arxiv.org/abs/0709.3130v1

Mathematics

Algebraic Topology

24 pages

Scientific paper

We study the notion of twisting elements $da=a\cup_1a$ with respect to
$\cup_1$ 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 $A(\infty)$-algebras of J.
Stasheff.

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