Geodesic
Cohomological Approach to Class Field Theory in Arithmetic Topology
Canadian journal of mathematics, Tome 71 (2019) no. 4, pp. 891-935

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DOI

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.
DOI : 10.4153/CJM-2018-020-0
Mots-clés : Arithmetic topology, class field theory, branched covering, knots and prime numbers 
Mihara, Tomoki. Cohomological Approach to Class Field Theory in Arithmetic Topology. Canadian journal of mathematics, Tome 71 (2019) no. 4, pp. 891-935. doi: 10.4153/CJM-2018-020-0
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     title = {Cohomological {Approach} to {Class} {Field} {Theory} in {Arithmetic} {Topology}},
     journal = {Canadian journal of mathematics},
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     year = {2019},
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