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Mathematics  1997 

Deformation Theory and the Batalin-Vilkovisky Master Equation

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Abstract:

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.

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