A master identity for homotopy Gerstenhaber algebras

Details A master identity for homotopy Gerstenhaber algebras A master identity for homotopy Gerstenhaber algebras

1997-10-01

arxiv.org/abs/q-alg/9710004v1

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX three times

Scientific paper

We produce a master identity {m}{m}=0 for homotopy Gerstenhaber algebras, as defined by Getzler and Jones and utilized by Kimura, Voronov, and Zuckerman in the context of topological conformal field theories. To this end, we introduce the notion of a "partitioned multilinear map" and explain the mechanics of composing such maps. In addition, many new examples of pre-Lie algebras and homotopy Gerstenhaber algebras are given.

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