2 citations · 2 across the 5 of their papers we have counts for
5 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…
Refined Dijkgraaf-Witten invariant of spin 3-manifold
Serban Matei Mihalache
We give a construction of a state sum invariant of a closed spin 3-manifold based on a super 3-cocycle and a combinatorial representation of a spin 3-manifold, w…
Quantum invariants of closed framed -manifolds based on ideal triangulations
Serban Matei Mihalache, Sakie Suzuki, Yuji Terashima
We construct a new type of quantum invariant of closed framed -manifolds with the vanishing first Betti number. The invariant is defined for any finite dimensional Hopf algebra,…
The Heisenberg double of involutory Hopf algebras and invariants of closed -manifolds
Serban Matei Mihalache, Sakie Suzuki, Yuji Terashima
We construct an invariant of closed oriented -manifolds using a finite dimensional, involutory, unimodular and counimodular Hopf algebra . We use the framework of normal o-gr…