2016/04/28 by Iwanari, Isamu
#14A22 #16E40 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.1604.08283
We construct a period mapping for deformations of a differential graded algebra, that generalizes Griffiths' period mapping. It is constructed as a morphism between differential graded Lie algebras which has a moduli-theoretic interpretation, where the domain of the morphism is the shifted Hochschild cocohain complex. We then use this period mapping to give some applications such as unobstructedness of deformations.