4 papers
Cohomology for solutions of polygon equations
Serban Matei Mihalache, Tomoro Mochida
Polygon equations form a family of equations generalizing the pentagon equation. In this paper, we construct semi-simplicial sets of permitted colorings associated with set-theoret…
Constructing Solutions of Simplex Equations from Polygon Equations
Serban Matei Mihalache, Tomoro Mochida
We study polygon equations and their connections to simplex equations, which generalize the pentagon and Yang-Baxter equations, respectively. First, we show that certain ''commutat…
Two Online Map Matching Algorithms Based on Analytic Hierarchy Process and Fuzzy Logic
Jeremy J. Lin, Tomoro Mochida, Riley C. W. O'Neill +3
Our aim of this paper is to develop new map matching algorithms and to improve upon previous work. We address two key approaches: Analytic Hierarchy Process (AHP) map matching and…
Invariants of flat connections on 4-manifolds from Hopf group-algebras
Tomoro Mochida
For a given group , we construct an invariant of flat -connections on 4-manifolds from a finite type involutory quasitriangular Hopf -algebra. Hopf -algebras are genera…