Nilpotent class field theory for manifolds

Junhyeung Kim; Hisatoshi Kodani; Masanori Morishita

doi:10.3792/pjaa.89.15

Nilpotent class field theory for manifolds

Junhyeung Kim, Hisatoshi Kodani, Masanori Morishita

基礎理論研究部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

抄録

We introduce a nilpotent Hurewicz homomorphism for a topological manifold, following the Lie algebra method in nilpotent class field theory for local and number fields by H. Koch et al. Using Labute-Anick's results on the determination of the Lie algebra attached to the lower central series of a group, we present explicitly nilpotent class field theory for some two and three dimensional manifolds.

本文言語	英語
ページ（範囲）	15-19
ページ数	5
ジャーナル	Proceedings of the Japan Academy Series A: Mathematical Sciences
巻	89
号	1
DOI	https://doi.org/10.3792/pjaa.89.15
出版ステータス	出版済み - 1月 2013

!!!All Science Journal Classification (ASJC) codes

数学一般

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10.3792/pjaa.89.15

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Nilpotent class field theory for manifolds

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!!!All Science Journal Classification (ASJC) codes

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