Nilpotent class field theory for manifolds

作者：Kim Junhyeung^*; Kodani Hisatoshi; Morishita Masanori

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2013, 89(1): 15-19.

DOI：10.3792/pjaa.89.15

• Nilpotent Hurewicz homomorphism
• nilpotent class field theory
• lower central series
• graded Lie algebras

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%26apos;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.

• 出版日期2013-1