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Title:
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FILTERED A-INFINITY STRUCTURES IN COMPLEX GEOMETRY
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Author:
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Cirici, J.; Sopena-Gilboy, A.
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Abstract:
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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. © 2022 American Mathematical Society |
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Publication date:
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2022-06-10 |
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Subject(s):
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Teoria de l'homotopia Geometria diferencial Teoria de Hodge Singularitats (Matemàtica) Homotopy theory Differential geometry Hodge theory Singularities (Mathematics) |
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Pages:
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14 p. |
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Document type:
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Article
Article - Accepted version |
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DOI:
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10.1090/proc/16009
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Published by:
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American Mathematical Society
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Publish at:
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Proceedings of the American Mathematical Society
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Share:
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