3 papers
math-ph2026
A Leibniz rule of distributional pairing and hyperforce sum rule
Takashi Maruyama, Tatsuki Seto, Viktor Zaverkin +1
We reformulate and generalize the equilibrium hyperforce sum rule, a generalization of the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy, by employing the Schwartz space an…
math.KT2022
A combinatorial integration on the Cantor dust
Takashi Maruyama, Tatsuki Seto
In this paper, we generalize the Cantor function to -dimensional cubes and construct a cyclic -cocycle on the Cantor dust. This cocycle is non-trivial on the pullback of the…
math.DG2017
A cyclic cocycle and relative index theorems on partitioned manifolds
Tatsuki Seto
In this paper, we extend Roe's cyclic -cocycle to relative settings. We also prove two relative index theorems for partitioned manifolds by using its cyclic cocycle, which are g…