Abstract
Following the analogies between three-dimensional topology and number theory, we study an idèlic form of class field theory for 3-manifolds. For a certain set K of knots in a 3-manifold M, we first present a local theory for each knot in K, which is analogous to local class field theory, and then, getting together over all knots in K, we give an analogue of idèlic global class field theory for an integral homology sphere M.
