In the first part of the thesis we,given a dg-Lie algebra $\g$, a commutative
dg-algebra $A$ and a twisting cochain $\mu$ in
$A \otimes \g$, we construct a map
from the functor of curved deformations of $\g$ to the
functor of curved deformations of the twisted tensor product
$A \otimes_\mu...