Filtered A-infinity structures in complex geometry
Algebraic Topology
2022-10-19 v2 Algebraic 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
Cite
@article{arxiv.2011.03989,
title = {Filtered A-infinity structures in complex geometry},
author = {Joana Cirici and Anna Sopena},
journal= {arXiv preprint arXiv:2011.03989},
year = {2022}
}