1. Nilpotent class field theory for manifolds
- Author
-
Masanori Morishita, Junhyeung Kim, and Hisatoshi Kodani
- Subjects
Commutator ,General Mathematics ,57M ,Unipotent ,Central series ,Algebra ,Nilpotent ,nilpotent class field theory ,Class field theory ,17B ,Nilpotent Hurewicz homomorphism ,graded Lie algebras ,Nilpotent group ,lower central series ,Mathematics - 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.
- Published
- 2013