Geometry of differential operators, odd Laplacians, and homotopy algebras

Abstract

We give a complete description of differential operators generating a given bracket. In particular we consider the case of Jacobi-type identities for odd operators and brackets. This is related with homotopy algebras using the derived bracket construction. (Based on a talk at XXII Workshop on Geometric Methods in Physics at Bialowieza)

13 pages; LaTeX

References in corpus (2)

• Higher derived brackets and homotopy algebras
• On odd Laplace operators

Cited by in corpus (2)

• Non-Commutative Batalin-Vilkovisky Algebras, Homotopy Lie Algebras and the Courant Bracket
• Supersymmetric sigma models and harmonic superfunctions