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Leibniz rule on higher pages of unstable spectral sequences. / Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 61, No. 1, 01.02.2018, p. 265-282.

Research output: Contribution to journal › Article › peer-review

Harvard

Ivanov, SO, Mikhailov, R & Wu, J 2018, 'Leibniz rule on higher pages of unstable spectral sequences', Proceedings of the Edinburgh Mathematical Society, vol. 61, no. 1, pp. 265-282. https://doi.org/10.1017/S0013091517000220

APA

Ivanov, S. O., Mikhailov, R., & Wu, J. (2018). Leibniz rule on higher pages of unstable spectral sequences. Proceedings of the Edinburgh Mathematical Society, 61(1), 265-282. https://doi.org/10.1017/S0013091517000220

Vancouver

Ivanov SO, Mikhailov R, Wu J. Leibniz rule on higher pages of unstable spectral sequences. Proceedings of the Edinburgh Mathematical Society. 2018 Feb 1;61(1):265-282. https://doi.org/10.1017/S0013091517000220

Author

Ivanov, Sergei O. ; Mikhailov, Roman ; Wu, Jie. / Leibniz rule on higher pages of unstable spectral sequences. In: Proceedings of the Edinburgh Mathematical Society. 2018 ; Vol. 61, No. 1. pp. 265-282.

BibTeX

@article{a41655c4bb7b4d77afc9bd8ec2d60139,
title = "Leibniz rule on higher pages of unstable spectral sequences",
abstract = "A natural composition o on all pages of the lower central series spectral sequence for spheres is defined. Moreover, it is defined for the p-lower central series spectral sequence of a simplicial group. It is proved that the rth differential satisfies a 'Leibniz rule with suspension': dr(a o σ b) = ±d r a o b + a o d r σ b, where σ is the suspension homomorphism.",
keywords = "homotopy groups, Leibniz rule, lower central series, spectral sequence",
author = "Ivanov, {Sergei O.} and Roman Mikhailov and Jie Wu",
year = "2018",
month = feb,
day = "1",
doi = "10.1017/S0013091517000220",
language = "English",
volume = "61",
pages = "265--282",
journal = "Proceedings of the Edinburgh Mathematical Society",
issn = "0013-0915",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Leibniz rule on higher pages of unstable spectral sequences

AU - Ivanov, Sergei O.

AU - Mikhailov, Roman

AU - Wu, Jie

PY - 2018/2/1

Y1 - 2018/2/1

N2 - A natural composition o on all pages of the lower central series spectral sequence for spheres is defined. Moreover, it is defined for the p-lower central series spectral sequence of a simplicial group. It is proved that the rth differential satisfies a 'Leibniz rule with suspension': dr(a o σ b) = ±d r a o b + a o d r σ b, where σ is the suspension homomorphism.

AB - A natural composition o on all pages of the lower central series spectral sequence for spheres is defined. Moreover, it is defined for the p-lower central series spectral sequence of a simplicial group. It is proved that the rth differential satisfies a 'Leibniz rule with suspension': dr(a o σ b) = ±d r a o b + a o d r σ b, where σ is the suspension homomorphism.

KW - homotopy groups

KW - Leibniz rule

KW - lower central series

KW - spectral sequence

UR - http://www.scopus.com/inward/record.url?scp=85051333745&partnerID=8YFLogxK

U2 - 10.1017/S0013091517000220

DO - 10.1017/S0013091517000220

M3 - Article

AN - SCOPUS:85051333745

VL - 61

SP - 265

EP - 282

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 1

ER -

ID: 46234140