3 papers
math.GT2026
Underlying Stokes and de Rham structures for Arnold-type invariants
Noboru Ito, Hiroki Mizuno
We introduce a framework on dual complexes for studying Arnold-type invariants of immersed curves and immersed surfaces via local finite-difference structures associated with Alexa…
math.GT2026
An explicit slice formula for surface invariants via curve invariants
Noboru Ito, Hiroki Mizuno
We give an explicit slice formula for a surface invariant of generic immersions in , expressed in terms of curve invariants arising from planar slices. Using a motion…
cs.GT2025
Complexity of the Existence of Constrained Secure Equilibria in Multi-Player Games
Hiroki Mizuno, Yoshiaki Takata, Hiroyuki Seki
We consider a multi-player non-zero-sum turn-based game (abbreviated as multi-player game) on a finite directed graph. A secure equilibrium (SE) is a strategy profile in which no p…