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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/191978
Filtered A-infinity structures in complex geometry
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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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CIRICI, Joana and SOPENA GILBOY, Anna. Filtered A-infinity structures in complex geometry. Proceedings of the American Mathematical Society. 2022. Vol. 150, num. 9, pags. 4067-4082. ISSN 0002-9939. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/191978