NDLI: Spectral sequences associated to deformations

Content Provider	Springer Nature Link
Author	Herscovich, Estanislao
Copyright Year	2016
Abstract	Lapin has constructed a multiplicative spectral sequence from a deformation of an $$A_{\infty }$$ -algebra. In particular, as noted by the same author, one can apply this construction to a deformation induced by a filtration of an $$A_{\infty }$$ -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.
Starting Page	513
Ending Page	548
Page Count	36
File Format	PDF
ISSN	21938407
Journal	Journal of Homotopy and Related Structures
Volume Number	12
Issue Number	3
e-ISSN	15122891
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-06-13
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Spectral sequences Filtered rings; filtrational and graded techniques Dg algebras Algebraic Topology Homotopical algebra Differential graded algebras and applications Deformations of rings Homological algebra Formal methods; deformations Algebra Functional Analysis Spectral sequences, hypercohomology General Number Theory $$A_{\infty }$$ -algebras
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Geometry and Topology

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Spectral sequences associated to deformations