3 papers
math.CO2026
An Affine Semigroup from Orbifold Boundary Conditions: cut, phylogenetic and hierarchical models in the unit-weight sector, and weighted configurations beyond them
Carles Marín
The equivalence classes of boundary conditions of a gauge theory on a two-dimensional orbifold are the fibres of a marginal map, indexed by an affine semigroup: one generator per a…
math.CO2026
Schur polynomials twisted by roots of unity and reciprocal pairs: exactly three factors, and where they vanish
Carles Marín
Let be the full set of -th roots of unity. Adjoining free reciprocal pairs gives a two-parameter family of alphabets; we settle three parts of it. At , for every…
math.CO2026
Schur polynomials twisted by roots of unity and reciprocal pairs: torsion filters, fusion quotients, and total unimodularity at odd order
Carles Marín
Write for the -th roots of unity and for free reciprocal pairs. We study , , and the question the companion paper left…