23 citations · 83 across the 28 of their papers we have counts for
30 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-Natan…
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…
Khovanov-Rozansky homology of Coxeter knots and Schröder polynomials for paths under any line
Carmen Caprau, Nicolle González, Matthew Hogancamp +1
We introduce a family of generalized Schröder polynomials , indexed by triangular partitions and prove that agrees with the Poincaré series of the trip…
On an invariant for colored classical and singular links
Audrey Baumheckel, Carmen Caprau, Conor Righetti
A colored link, as defined by Francesca Aicardi, is an oriented classical link together with a coloration, which is a function defined on the set of link components and whose image…