A period map for generalized deformations
Algebraic Geometry
2016-02-17 v1 Quantum Algebra
Abstract
For every compact Kaehler manifold we give a canonical extension of Griffith's period map to generalized deformations, intended as solutions of Maurer-Cartan equation in the algebra of polyvector fields. Our construction involves the notion of Cartan homotopy and a canonical L-infinity structure on mapping cones of morphisms of differential graded Lie algebras.
Cite
@article{arxiv.0808.0140,
title = {A period map for generalized deformations},
author = {Domenico Fiorenza and Marco Manetti},
journal= {arXiv preprint arXiv:0808.0140},
year = {2016}
}