Frobenius algebras and root systems: the trigonometric case
arXiv:1901.08768
Abstract
We construct Frobenius structures on the -bundle of the complement of a toric arrangement associated with a root system, by making use of a one-parameter family of torsion free and flat connections on it. This gives rise to a trigonometric version of Frobenius algebras in terms of root systems and a new class of Frobenius manifolds. We also determine their potential functions.
18 pages. Comments welcome