3 citations · 3 across the 2 of their papers we have counts for
6 papers
Quantum invariants of framed links from ternary self-distributive cohomology
Emanuele Zappala
The ribbon cocycle invariant is defined by means of a partition function using ternary cohomology of self-distributive structures (TSD) and colorings of ribbon diagrams of a framed…
Braided Frobenius Algebras from certain Hopf Algebras
Masahico Saito, Emanuele Zappala
A braided Frobenius algebra is a Frobenius algebra with braiding that commutes with the operations, that are related to diagrams of compact surfaces with boundary expressed as ribb…
Skein theoretic approach to Yang-Baxter homology
Mohamed Elhamdadi, Masahico Saito, Emanuele Zappala
We introduce skein theoretic techniques to compute the Yang-Baxter (YB) homology and cohomology groups of the R-matrix corresponding to the Jones polynomial. More specifically, we…
Heap and Ternary Self-Distributive Cohomology
Mohamed Elhamdadi, Masahico Saito, Emanuele Zappala
Heaps are para-associative ternary operations bijectively exemplified by groups via the operation . They are also ternary self-distributive, and have a…
Higher Arity Self-Distributive Operations in Cascades and their Cohomology
Mohamed Elhamdadi, Masahico Saito, Emanuele Zappala
We investigate constructions of higher arity self-distributive operations, and give relations between cohomology groups corresponding to operations of different arities. For this p…
Continuous cohomology of topological quandles
Mohamed Elhamdadi, Masahico Saito, Emanuele Zappala
A continuous cohomology theory for topological quandles is introduced, and compared to the algebraic theories. Extensions of topological quandles are studied with respect to contin…