3 papers
math-ph2026
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…
math.GT2026
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…
math-ph2026
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…