# name
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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Proceedings of the American Mathematical Society, 2022, vol. 150, num. 9, p. 4067-4082

# metadata.dc.rights[].value
cc-by-nc-nd (c) American Mathematical Society (AMS), 2022

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Filtered A-infinity structures in complex geometry