Filtered A-infinity structures in complex geometry

Filtered A-infinity structures in complex geometry

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 filt...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2022-09, Vol.150 (9), p.4067-4082
Hauptverfasser: Cirici, Joana, Sopena-Gilboy, Anna
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Sopena-Gilboy, Anna
description 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.
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title Filtered A-infinity structures in complex geometry
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