THE HOMOTOPY CLASS OF TWISTED L∞-MORPHISMS.

The global formality of Dolgushev depends on the choice of a torsion-free covariant derivative. We prove that the globalized formalities with respect to two different covariant derivatives are homotopic. More explicitly, we derive the statement by proving a more general homotopy equivalence between L∞-morphisms that are twisted with gauge equivalent Maurer-Cartan elements. [ABSTRACT FROM AUTHOR]