From the 1 of 5 linked papers with an AI index.
5 papers
Thompson's Group and Virtual Link Theory
Micah Chrisman, Louisa Liles, Melody Molander
The paper defines a surjection from Thompson's group V to virtual equivalence classes of checkerboard‑colorable links in thickened surfaces, introduces an oriented subgroup \(\vec…
NIM-representations of Tambara-Yamagami generalizations
Agustina Czenky, Emily McGovern, Melody Molander +2
We compute and classify the irreducible non-negative integer matrix (NIM-)representations of two proposed generalizations of the Tambara-Yamagami fusion ring, as studied by Jordan-…
A mirror deformation of Markov numbers
Léa Bittmann, Perrine Jouteur, Ezgi Kantarcı OÄuz +2
We introduce a deformed squared Markov equation given by . Symmetric solutions of this new equation present a remarka…
A Well-Defined Jellyfish Algorithm for the Affine Subfactor Planar Algebra
Melody Molander
In this paper, we contribute to the Kuperberg program by giving a diagrammatic presentation of generators and relations for the affine unshaded subfactor planar algebra. Usin…
Skein Theory for Affine A Subfactor Planar Algebras
Melody Molander
The Kuperberg Program asks to find presentations of planar algebras and use these presentations to prove results about their corresponding categories purely diagrammatically. This…