6 citations · 9 across the 2 of their papers we have counts for
3 papers
math.GT2022★ 3 cited
A Hilbert reciprocity law on 3-manifolds
Hirofumi Niibo, Jun Ueki
Based on our homological idelic class field theory, we formulate an analogue of the Hilbert reciprocity law on a rational homology 3-sphere endowed with an infinite link, in the sp…
math.GT2015★ 6 cited
Idèlic class field theory for 3-manifolds and very admissible links
Hirofumi Niibo, Jun Ueki
We study a topological analogue of idèlic class field theory for 3-manifolds, in the spirit of arithmetic topology. We firstly introduce the notion of a very admissible link $\math…
math.GT2013
Idèlic class field theory for 3-manifolds
Hirofumi Niibo
Following the analogies between 3-dimensional topology and number theory, we study an idèlic form of class field theory for 3-manifolds. For a certain set of knots in…