IJPAM: Volume 37, No. 3 (2007)
FORMAL SOLUTION OF THE MASTER EQUATION
VIA HPT AND DEFORMATION THEORY
Department of Mathematics
Illinois State University
Normal, IL 61790-4520, USA
Abstract.The construction of universal twisting cocycle solving the most general form of Maurer-Cartan equation [#!HS!#] is explained in detail, together with the relation with the almost contraction of [#!AIPapa!#]. In this way the applications to derived brackets and deformation quantization are emphasized.
The relation between the Huebshmann-Stasheff construction and the Kuranishi functor of deformation theory is mentioned.
Received: April 2, 2007
AMS Subject Classification: 14DXX, 55PXX
Key Words and Phrases: homotopy perturbation theory, deformation theory, Maurer-Cartan equation
Source: International Journal of Pure and Applied Mathematics