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arXiv · 2011.03989

Filtered A-infinity structures in complex geometry

Joana Cirici·Anna Sopena
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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

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Joana Cirici, Anna Sopena. 2020-11-08. Filtered A-infinity structures in complex geometry. https://doi.org/10.1090/proc/16009

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