4 papers
On the structure of the singular triplet monoid and its virtual extension
Carmen Caprau, Mohamad N. Nasser
In this article, we introduce two new algebraic structures associated with the triplet group on strands, : the singular triplet monoid and its virtual extension $V…
An Extension of the Polynomial to Knotted 4-Valent Graphs
Carmen Caprau, Victoria Wiest
We use planar 4-valent graphs and a graphical calculus involving such graphs to construct an invariant for balanced-oriented, knotted 4-valent graphs. Our invariant is an extension…
A whittled complex for the Khovanov homology of torus links
Carmen Caprau, Nicolle Gonzalez, Christine Ruey Shan Lee +1
We give an algorithm for reducing the number of generators of the Khovanov chain complex of the torus braid on strands by applying Bar-Na…
The virtual singular twin monoid and group: presentations and representations
Carmen Caprau, Mohamad N. Nasser
In this article, we introduce the algebraic definitions and presentations of the virtual singular twin monoid and virtual singular twin group, denoted by and , resp…