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arxiv: math/0402292 · v1 · pith:SX3URYNRnew · submitted 2004-02-18 · 🧮 math.DG · math-ph· math.MP· math.SG

Geometry of differential operators, odd Laplacians, and homotopy algebras

classification 🧮 math.DG math-phmath.MPmath.SG
keywords operatorsalgebrasbracketdifferentialhomotopybialowiezabracketscase
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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)

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