13 citations · 36 across the 17 of their papers we have counts for
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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…
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 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…
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…
Arithmetic topology in Ihara theory
Hisatoshi Kodani, Masanori Morishita, Yuji Terashima
Ihara initiated to study a certain Galois representation which may be seen as an arithmetic analogue of the Artin representation of a pure braid group. We pursue the analogies in I…
On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field
Fumiya Amano, Yasushi Mizusawa, Masanori Morishita
We introduce mod 3 triple Milnor invariants and triple cubic residue symbols for certain primes of the Eisenstein number field , following the analogies betw…