Deformation Theory and the Batalin-Vilkovisky Master Equation

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The Batalin-Vilkovisky master equations, both classical and quantum, are precisely the integrability equations for deformations of algebras and differential algebras respectively. This is not a coincidence; the Batalin-Vilkovisky approach is here translated into the language of deformation theory.
AMS-Latex, 15 pages plus one figure available as .eps file,not included To appear in Proceedings of the Conference on Deformation Theory, etc. Ascona, Switzerland, June 1996

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