Multicomplexes and spectral sequences
David E. Hurtubise
Division of Mathematics & Natural Sciences (Altoona)
In this note, we present some algebraic examples of multicomplexes whose differentials differ from those in the spectral sequences associated to the multicomplexes. The motivation for constructing examples showing the algebraic distinction between a multicomplex and its associated spectral sequence comes from the author's work on MorseBott homology with A. Banyaga [A. Banyaga and D. E. Hurtubise, MorseBott homology, Trans. Amer. Math. Soc. (to appear), arXiv:math/0612316v2].
Journal of Algebra and its Applications
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Spectral Sequence Mathematics 100%
Homology Mathematics 78%
Hurtubise, D. E. (2010). Multicomplexes and spectral sequences. Journal of Algebra and its Applications, 9(4), 519-530. https://doi.org/10.1142/S0219498810004087
Hurtubise, David E. / Multicomplexes and spectral sequences. In: Journal of Algebra and its Applications. 2010 ; Vol. 9, No. 4. pp. 519-530.
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Hurtubise, DE 2010, 'Multicomplexes and spectral sequences', Journal of Algebra and its Applications, vol. 9, no. 4, pp. 519-530. https://doi.org/10.1142/S0219498810004087
Multicomplexes and spectral sequences. / Hurtubise, David E.
In: Journal of Algebra and its Applications, Vol. 9, No. 4, 08.2010, p. 519-530.
T1 - Multicomplexes and spectral sequences
AU - Hurtubise, David E.
N2 - In this note, we present some algebraic examples of multicomplexes whose differentials differ from those in the spectral sequences associated to the multicomplexes. The motivation for constructing examples showing the algebraic distinction between a multicomplex and its associated spectral sequence comes from the author's work on MorseBott homology with A. Banyaga [A. Banyaga and D. E. Hurtubise, MorseBott homology, Trans. Amer. Math. Soc. (to appear), arXiv:math/0612316v2].
AB - In this note, we present some algebraic examples of multicomplexes whose differentials differ from those in the spectral sequences associated to the multicomplexes. The motivation for constructing examples showing the algebraic distinction between a multicomplex and its associated spectral sequence comes from the author's work on MorseBott homology with A. Banyaga [A. Banyaga and D. E. Hurtubise, MorseBott homology, Trans. Amer. Math. Soc. (to appear), arXiv:math/0612316v2].
JO - Journal of Algebra and Its Applications
JF - Journal of Algebra and Its Applications
Hurtubise DE. Multicomplexes and spectral sequences. Journal of Algebra and its Applications. 2010 Aug;9(4):519-530. https://doi.org/10.1142/S0219498810004087