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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Detalles Bibliográficos
Autores: Cirici, J., Sopena-Gilboy, A.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2022
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/535411
Acceso en línea:http://hdl.handle.net/2072/535411
Access Level:acceso abierto
Palabra clave:Teoria de l'homotopia Geometria diferencial Teoria de Hodge Singularitats (Matemàtica) Homotopy theory Differential geometry Hodge theory Singularities (Mathematics)
Descripción
Sumario: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. © 2022 American Mathematical Society

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