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Title: | Filtered A-infinity structures in complex geometry |
Author: | Cirici, Joana Sopena Gilboy, Anna |
Keywords: | Teoria de l'homotopia Geometria diferencial Teoria de Hodge Singularitats (Matemàtica) Homotopy theory Differential geometry Hodge theory Singularities (Mathematics) |
Issue Date: | 2022 |
Publisher: | American Mathematical Society (AMS) |
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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1090/proc/16009 |
It is part of: | Proceedings of the American Mathematical Society, 2022, vol. 150, num. 9, p. 4067-4082 |
URI: | http://hdl.handle.net/2445/191978 |
Related resource: | https://doi.org/10.1090/proc/16009 |
ISSN: | 0002-9939 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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