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

Division of Fundamental mathematics

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

Abstract

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.

Original language	English
Pages (from-to)	15-19
Number of pages	5
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	89
Issue number	1
DOIs	https://doi.org/10.3792/pjaa.89.15
Publication status	Published - Jan 2013

All Science Journal Classification (ASJC) codes

Mathematics(all)

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abstract = "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.",

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Nilpotent class field theory for manifolds

Abstract

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