3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.NT2021
On arithmetic Dijkgraaf-Witten theory
Hikaru Hirano, Junhyeong Kim, Masanori Morishita
We present basic constructions and properties in arithmetic Chern-Simons theory with finite gauge group along the line of topological quantum field theory. For a finite set of…
math.NT2019★ 3 cited
On mod 2 arithmetic Dijkgraaf-Witten invariants for certain real quadratic number fields
Hikaru Hirano
Minhyong Kim introduced arithmetic Chern-Simons invariants for totally imaginary number fields as arithmetic analogues of the Chern-Simons invariants for 3-manifolds. In this paper…
math.NT2019
Arithmetic topology in Ihara theory II: Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols
Hikaru Hirano, Masanori Morishita
We introduce mod Milnor invariants of a Galois element associated to Ihara's Galois representation on the pro- fundamental group of a punctured projective line ( being a…