Article contents
Cohomological Approach to Class Field Theory in Arithmetic Topology
Published online by Cambridge University Press: 09 January 2019
Abstract
We establish class field theory for three-dimensional manifolds and knots. For this purpose, we formulate analogues of the multiplicative group, the idèle class group, and ray class groups in a cocycle-theoretic way. Following the arguments in abstract class field theory, we construct reciprocity maps and verify the existence theorems.
- Type
- Article
- Information
- Copyright
- © Canadian Mathematical Society 2018
References
- 3
- Cited by