13 citations · 36 across the 17 of their papers we have counts for
17 papers
On a relation between Deninger's foliated dynamical systems and Connes-Consani's adelic spaces
Masanori Morishita
We give a relation between Deninger's foliated dynamical systems associated to abelian number fields and Connes-Consani's adelic spaces. It fits with the analogy between knots and…
Regularized determinant formulas for the zeta functions of 3-dimensional Riemannian foliated dynamical systems
Jesús A. Álvarez López, Junhyeong Kim, Masanori Morishita
We prove a regularized determinant formula for the zeta functions of certain 3-dimensional Riemannian foliated dynamical systems, in terms of the infinitesimal operator induced by…
Triple symbols in arithmetic
Dohyeong Kim, Masanori Morishita
Triple symbols are arithmetic analogues of the mod triple linking number in topology, where is an integer. In this paper, we introduce a cohomological formulation of a…
On adjoint homological Selmer modules for SL-representations of knot groups
Takahiro Kitayama, Masanori Morishita, Ryoto Tange +1
We introduce the adjoint homological Selmer module for an SL-representation of a knot group, which may be seen as a knot theoretic analogue of the dual adjoint Selmer module fo…
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…
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…