4 papers
Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
Alessandro Proserpio, Karoline van Gemst
In arXiv:1711.05958, arXiv:2103.12673, the authors derive one-dimensional Landau-Ginzburg mirrors of Dubrovin-Zhang Frobenius manifolds constructed on regular orbit spaces of an ex…
Open WDVV equations and -systems
Alessandro Proserpio, Ian A. B. Strachan
The idea of a -system was introduced by Veselov in the study of rational solutions of the WDVV equations of associativity. These are algebraic/geometric conditions on the…
Dubrovin duality for open Hurwitz flat F-manifolds
Alessandro Proserpio, Ian A. B. Strachan
We prove that the Dubrovin dual of a Hurwitz Frobenius manifold extends naturally to an F-manifold with compatible flat connection on the universal curve, in the sense of the open…
Diagonal invariants and genus-zero Hurwitz Frobenius manifolds
Alessandro Proserpio, Ian A. B. Strachan
The Frobenius manifold structure on the space of rational functions with multiple simple poles is constructed. In particular, the dependence of the Saito-flat coordinates on the fl…