Volume 38_2_(2017)_175-198

On the abstract Bogomolov-Tian-Todorov Theorem
DONATELLA IACONO

Abstract. We describe an abstract version of the Theorem of Bogomolov-Tian-Todorov, whose underlying idea is already contained in various papers by Bandiera, Fiorenza, Iacono, Manetti. More explicitly, we prove an algebraic criterion for a differential graded Lie algebra to be homotopy abelian. Then, we collect together many examples and applications in deformation theory and other settings

Rend. Mat. Appl. (7) 38 (2017) 175-198;  pdf