Quantizing deformation theory II
Abstract
A quantization of classical deformation theory, based on the Maurer-Cartan Equation dS + 12[S,S] = 0 in dg-Lie algebras, a theory based on the Quantum Master Equation dS + S + 12 \S,S\ = 0 in dg-BV-algebras, is proposed. Representability theorems for solutions of the Quantum Master Equation are proven. Examples of "quantum" deformations are presented.
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