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Spectral sequences associated to deformations.

Bibliographic Details
Title: Spectral sequences associated to deformations.
Authors: Herscovich, Estanislao Estanislao.Herscovich@ujf-grenoble.fr
Source: Journal of Homotopy & Related Structures. Sep2017, Vol. 12 Issue 3, p513-548. 36p.
Subject Terms: *Spectral sequences (Mathematics), *Algebra, *Ordered algebraic structures, *Cohomology theory, *Perturbation theory
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. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
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  – Url: https://dx.doi.org/doi:10.1007/s40062-016-0137-z
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  Data: Spectral sequences associated to deformations.
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  Data: <searchLink fieldCode="AR" term="%22Herscovich%2C+Estanislao%22">Herscovich, Estanislao</searchLink><i> Estanislao.Herscovich@ujf-grenoble.fr</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Homotopy+%26+Related+Structures%22">Journal of Homotopy & Related Structures</searchLink>. Sep2017, Vol. 12 Issue 3, p513-548. 36p.
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  Data: *<searchLink fieldCode="DE" term="%22Spectral+sequences+%28Mathematics%29%22">Spectral sequences (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br />*<searchLink fieldCode="DE" term="%22Ordered+algebraic+structures%22">Ordered algebraic structures</searchLink><br />*<searchLink fieldCode="DE" term="%22Cohomology+theory%22">Cohomology theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Perturbation+theory%22">Perturbation theory</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: 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. [ABSTRACT FROM AUTHOR]
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        Value: 10.1007/s40062-016-0137-z
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 36
        StartPage: 513
    Subjects:
      – SubjectFull: Spectral sequences (Mathematics)
        Type: general
      – SubjectFull: Algebra
        Type: general
      – SubjectFull: Ordered algebraic structures
        Type: general
      – SubjectFull: Cohomology theory
        Type: general
      – SubjectFull: Perturbation theory
        Type: general
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      – TitleFull: Spectral sequences associated to deformations.
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            – D: 01
              M: 09
              Text: Sep2017
              Type: published
              Y: 2017
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              Value: 12
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