Abstract:
Lapin has constructed a multiplicative spectral sequence from a deformation of an A∞-algebra. In particular, as noted by the same author, one can apply this construction to a deformation induced by a filtration of an A∞-algebra. A question that naturally appears is whether this latter multiplicative spectral sequence is isomorphic to the one that is canonically associated to the filtration and that typically appears in basic textbooks on homological algebra. We provide a positive answer to the previous question and we also explain the interesting constructions of Lapin in more structural terms. © 2016, Tbilisi Centre for Mathematical Sciences.
Registro:
Documento: |
Artículo
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Título: | Spectral sequences associated to deformations |
Autor: | Herscovich, E. |
Filiación: | Institut Joseph Fourier, Université Grenoble I, Saint-Martin-d’Hères, France Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina CONICET, Buenos Aires, Argentina
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Palabras clave: | A∞-algebras; Dg algebras; Homological algebra; Spectral sequences |
Año: | 2017
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Volumen: | 12
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Número: | 3
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Página de inicio: | 513
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Página de fin: | 548
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DOI: |
http://dx.doi.org/10.1007/s40062-016-0137-z |
Título revista: | Journal of Homotopy and Related Structures
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Título revista abreviado: | J. Homotopy Related Struct.
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ISSN: | 15122891
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15122891_v12_n3_p513_Herscovich |
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Citas:
---------- APA ----------
(2017)
. Spectral sequences associated to deformations. Journal of Homotopy and Related Structures, 12(3), 513-548.
http://dx.doi.org/10.1007/s40062-016-0137-z---------- CHICAGO ----------
Herscovich, E.
"Spectral sequences associated to deformations"
. Journal of Homotopy and Related Structures 12, no. 3
(2017) : 513-548.
http://dx.doi.org/10.1007/s40062-016-0137-z---------- MLA ----------
Herscovich, E.
"Spectral sequences associated to deformations"
. Journal of Homotopy and Related Structures, vol. 12, no. 3, 2017, pp. 513-548.
http://dx.doi.org/10.1007/s40062-016-0137-z---------- VANCOUVER ----------
Herscovich, E. Spectral sequences associated to deformations. J. Homotopy Related Struct. 2017;12(3):513-548.
http://dx.doi.org/10.1007/s40062-016-0137-z