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 homo- topy abelian. Then, we collect together many examples and applications in deformation theory and other settings.
On the abstract Bogomolov-Tian-Todorov Theorem
Iacono
2017-01-01
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 homo- topy abelian. Then, we collect together many examples and applications in deformation theory and other settings.File in questo prodotto:
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