Filtered A-infinity structures in complex geometry

Abstract

We prove a filtered version of the Homotopy Transfer Theorem which gives an A-infinity algebra structure on any page of the spectral sequence associated to a filtered dg-algebra. We then develop various applications to the study of the geometry and topology of complex manifolds, using the Hodge filtration, as well as to complex algebraic varieties, using mixed Hodge theory

References in corpus (3)

• Transferring homotopy commutative algebraic structures
• E_1-Formality of Complex Algebraic Varieties
• On the homotopy transfer of $A_{\infty }$ structures