4 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
Leafwise cohomological expression of dynamical zeta functions on foliated dynamical systems
Junhyeong Kim
A Riemmanian foliated dynamical system of 3-dimension is a closed Riemannian 3-manifold with additional structures: foliation, dynamical system. In the contex…
On -dimensional foliated dynamical systems and Hilbert type reciprocity law
Junhyeong Kim, Masanori Morishita, Takeo Noda +1
We show some fundamental results concerning -dimensional foliated dynamical systems (FDS for short) introduced by Deninger. Firstly, we give a decomposition theorem for an F…
On the leafwise cohomology and dynamical zeta functions for fiber bundles over the circle
Junhyeong Kim
In this paper, we give concrete descriptions of leafwise cohomology groups and show the regularized determinant expression of the dynamical zeta function for fiber bundles over $S^…